GATE AE 2018 • Q6 MCQ • 2 Marks

General Aptitude

Verbal & Numerical Aptitude

Subtopic: Analytical Reasoning

Question Statement:

A NACA 0012 airfoil has a trailing edge flap. The airfoil is operating at an angle of attack of 5 degrees with un-deflected flap. If the flap is now deflected by 5 degrees downwards, the CL versus 𝛼 curve

Options:

  • (A) shifts right and slope increases.
  • (B) shifts left and slope increases.
  • (C) shifts left and slope stays the same.
  • (D) shifts right and slope stays the same. /Artifact <</Attached [/Top ]/Subtype /Header /Type /Pagination >>BDC q 0 0 595.44 841.68 re W* n BT /GS0 gs /TT0 8.04 Tf 54 798.36 Td [(G)20.995 (A)21.007 (T)13.993 (E )-33.993 (2)-6.007 (0)-5.995 (1)-5.995 (8)-6.007 ( )-2.998 ( )-2.998 ( )-2.998 ( )-3.01 ( )-2.998 ( )]TJ ET Q q 0 0 595.44 841.68 re W* n BT /TT0 8.04 Tf 0.03 Tc 105.86 798.36 Td ( \ )Tj ET Q q 0 0 595.44 841.68 re W* n BT /TT0 8.04 Tf 0.03 Tc 307.87 798.36 Td ( )Tj ET Q q 0 0 595.44 841.68 re W* n BT /TT0 8.04 Tf 438.46 798.36 Td [(A)20.995 (e)11.007 (r)5 (o)7.002 (sp)-6.007 (a)-2.998 (c)-2.998 (e)10.995 ( )-2.998 (En)-7.002 (g)7.002 (i)-5 (n)-5.995 (e)10.995 (e)10.995 (r)5 (i)-5 (n)-5.995 (g)]TJ ET Q q 0 0 595.44 841.68 re W* n BT /TT0 8.04 Tf 513.34 798.36 Td ( )Tj ET Q q 0 0 595.44 841.68 re W* n 52.56 795 490.44 0.48 re f* EMC Q /Artifact <</Attached [/Bottom ]/Subtype /Footer /Type /Pagination >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 8.04 Tf -0.165 Tc 54 37.824Tj ET Q q 0 0 595.44 841.68 re W* n BT /TT0 8.04 Tf 64.704 37.824 Td ( )Tj ET Q q 0 0 595.44 841.68 re W* n 52.56 46.104 317.95 0.48 re f* Q q 369.07 35.784 172.01 9.12 re W* n BT /TT0 8.04 Tf 530.86 37.704 Td (2)Tj ET Q q 369.07 35.784 172.01 9.12 re W* n BT /TT0 8.04 Tf 534.96 37.704 Td (/)Tj ET Q q 369.07 35.784 172.01 9.12 re W* n BT /TT0 8.04 Tf 537.12 37.704 Td (9)Tj ET Q q 369.07 35.784 172.01 9.12 re W* n BT /TT0 8.04 Tf 541.08 37.704 Td ( )Tj ET EMC Q q 59.424 711.46 33.96 76.224 re W* n /P <</Lang (en-US)/MCID 0 >>BDC q 59.424 711.46 33.96 76.224 re W* n BT /TT0 12 Tf 64.824 776.88 Td (Q.7)Tj ET Q q 59.424 711.46 33.96 76.224 re W* n BT /TT1 12 Tf 82.464 776.88 Td ( )Tj ET Q q 59.424 711.46 33.96 76.224 re W* n BT /TT0 12 Tf 100.82 776.88 Td ( )Tj ET EMC Q Q q 93.384 773.88 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 1 >>BDC q 93.384 773.88 452.14 13.8 re W* n BT /TT0 12 Tf 99.144 776.88 Td [(An a)6 (irpla)3 (ne)4 ( )]TJ ET Q q 93.384 773.88 452.14 13.8 re W* n BT /TT0 12 Tf 158.42 776.88 Td [(re)7 (quire)5 (s )-10 (a)4 ( lo)-11 (ng)10 (e)-5 (r )-6 (g)10 (round)3 ( roll t)-2 (o li)-3 (ft)]TJ ET Q q 93.384 773.88 452.14 13.8 re W* n BT /TT0 12 Tf 325.15 776.88 Td (-)Tj ET Q q 93.384 773.88 452.14 13.8 re W* n BT /TT0 12 Tf 329.11 776.88 Td [(of)-6 (f on h)3 (ot sum)-4 (mer)5 ( da)-15 (y)20 (s )]TJ ET Q q 93.384 773.88 452.14 13.8 re W* n BT /TT0 12 Tf 446.14 776.88 Td [(be)-5 (c)4 (a)4 (use)]TJ ET Q q 93.384 773.88 452.14 13.8 re W* n BT /TT0 12 Tf 484.18 776.88 Td ( )Tj ET EMC Q Q q 93.384 752.86 452.14 13.824 re W* n /P <</Lang (en-US)/MCID 2 >>BDC q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 98.784 755.86 Td [(\(A)5 (\))]TJ ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 115.34 755.86 Td ( )Tj ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 118.34 755.86 Td (the t)Tj ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 139.34 755.86 Td (hrust is)Tj ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 174.38 755.86 Td ( )Tj ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 177.41 755.86 Td [(dire)5 (c)4 (tl)-23 (y)]TJ ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 214.01 755.86 Td ( )Tj ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 217.13 755.86 Td [(propo)3 (rtiona)3 (l t)-3 (o fr)6 (e)-5 (e)]TJ ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 310.39 755.86 Td (-)Tj ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 314.35 755.86 Td [(stre)-5 (a)-5 (m densit)-12 (y)]TJ ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 384.07 755.86 Td (.)Tj ET Q q 93.384 752.86 452.14 13.824 re W* n BT /TT0 12 Tf 387.19 755.86 Td ( )Tj ET EMC Q Q q 93.384 739.06 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 3 >>BDC q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 98.784 742.06 Td [(\(B)10 (\))]TJ ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 114.62 742.06 Td ( )Tj ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 117.62 742.06 Td (the t)Tj ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 138.62 742.06 Td [(h)-9 (rust is)]TJ ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 173.78 742.06 Td ( )Tj ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 176.81 742.06 Td [(dire)5 (c)4 (tl)-13 (y)]TJ ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 213.29 742.06 Td ( )Tj ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 216.41 742.06 Td [(propo)3 (rtiona)3 (l t)-3 (o we)6 (i)-11 (g)10 (ht of)-8 ( the a)6 (irc)5 (r)-6 (a)4 (ft)]TJ ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 391.99 742.06 Td (.)Tj ET Q q 93.384 739.06 452.14 13.8 re W* n BT /TT0 12 Tf 395.11 742.06 Td ( )Tj ET EMC Q Q q 93.384 725.26 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 4 >>BDC q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 98.784 728.26 Td (\(C\))Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 114.74 728.26 Td ( )Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 117.74 728.26 Td (the l)Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 138.74 728.26 Td (ift)Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 149.42 728.26 Td (-)Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 153.38 728.26 Td [(off)6 ( dist)-4 (a)4 (nc)-5 (e)4 ( is )]TJ ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 223.73 728.26 Td [(dire)5 (c)4 (tl)-13 (y)20 ( )]TJ ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 263.21 728.26 Td [(p)-9 (ropor)6 (ti)-3 (ona)4 (l)]TJ ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 322.63 728.26 Td ( )Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 325.63 728.26 Td [(to f)-8 (re)7 (e)]TJ ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 356.59 728.26 Td (-)Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 360.55 728.26 Td [(str)-9 (e)4 (a)4 (m densit)-22 (y)]TJ ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 430.3 728.26 Td (.)Tj ET Q q 93.384 725.26 452.14 13.8 re W* n BT /TT0 12 Tf 433.42 728.26 Td ( )Tj ET EMC Q Q q 93.384 711.46 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 5 >>BDC q 93.384 711.46 452.14 13.8 re W* n BT /TT0 12 Tf 98.784 714.46 Td [(\(D)5 (\))]TJ ET Q q 93.384 711.46 452.14 13.8 re W* n BT /TT0 12 Tf 115.34 714.46 Td ( )Tj ET Q q 93.384 711.46 452.14 13.8 re W* n BT /TT0 12 Tf 118.34 714.46 Td (the r)Tj ET Q q 93.384 711.46 452.14 13.8 re W* n BT /TT0 12 Tf 139.94 714.46 Td [(un)-9 (wa)-13 (y)20 ( f)-6 (ric)5 (ti)-3 (on is )-2 (hig)8 (h on hot s)-2 (umm)-3 (e)4 (r da)-12 (y)10 (s.)]TJ ET Q q 93.384 711.46 452.14 13.8 re W* n BT /TT0 12 Tf 348.79 714.46 Td ( )Tj ET EMC Q Q /P <</Lang (en-US)/MCID 6 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 700.66 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 7 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 686.86 Td ( )Tj ET EMC Q q 59.424 455.83 33.96 228.02 re W* n /P <</Lang (en-US)/MCID 8 >>BDC q 59.424 455.83 33.96 228.02 re W* n BT /TT0 12 Tf 64.824 673.06 Td (Q.8)Tj ET Q q 59.424 455.83 33.96 228.02 re W* n BT /TT1 12 Tf 82.464 673.06 Td ( )Tj ET Q q 59.424 455.83 33.96 228.02 re W* n BT /TT0 12 Tf 100.82 673.06 Td ( )Tj ET EMC Q Q /P <</Lang (en-US)/MCID 9 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 673.06 Td (T)Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 106.46 673.06 Td [(he)4 ( )-119 (ve)4 (locit)-11 (y)]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 160.7 673.06 Td ( )Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 165.14 673.06 Td [(prof)6 (il)-3 (e)4 ( )-119 (in )-121 (a)-5 (n )-119 (incompr)3 (e)4 (ssi)-3 (ble, )-117 (lamin)8 (a)4 (r )-116 (bounda)4 (r)-16 (y)30 ( )-119 (l)-11 (a)-15 (y)20 (e)4 (r )-116 (is )-122 (shown )-118 (in )-121 (the )-117 (fig)11 (ure)7 ( )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 659.26 Td [(be)4 (low. )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT2 12 Tf 135.02 659.26 Td (U)Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 143.66 659.26 Td ( )Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 147.26 659.26 Td [(is )-52 (the )-47 (f)-6 (re)-2 (e)]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 195.89 659.26 Td (-)Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 199.85 659.26 Td [(stre)-5 (a)4 (m )-51 (ve)4 (locit)-11 (y)20 (,)-9 ( )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT2 12 Tf 280.73 659.26 Td [(u)-9 (\()13 (y)-5 (\))]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 300.07 659.26 Td ( )Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 303.67 659.26 Td [(is )-52 (the )-47 (s)-10 (tre)5 (a)4 (m)]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 365.59 659.26 Td (-)Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 369.55 659.26 Td [(wise)3 ( )-49 (v)-9 (e)4 (locit)-21 (y)20 ( )-49 (c)4 (om)-11 (pone)4 (nt. )-51 (T)]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 504.82 659.26 Td [(he)4 ( )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 519.7 659.26 Td [(a)-5 (re)7 (a)-5 ( )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 645.46 Td [(of the)5 ( blac)6 (k sha)3 (d)-9 (e)4 (d re)-2 (g)10 (io)-11 (n )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 228.77 645.46 Td [(in t)-3 (he)4 ( )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 258.77 645.46 Td [(fig)11 (ur)-6 (e)4 ( be)4 (low )]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 322.63 645.46 Td [(r)-6 (e)4 (pr)-6 (e)4 (se)3 (nts)]TJ ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 371.35 645.46 Td ( )Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 374.35 645.46 Td (the)Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 389.11 645.46 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 10 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 631.66 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 11 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 617.86 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 12 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 604.06 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 13 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 590.26 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 14 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT2 12 Tf 99.144 576.46 Td ( )Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT2 12 Tf 255.17 576.46 Td (y)Tj ET Q q 93.384 518.23 452.14 165.62 re W* n BT /TT2 12 Tf 260.45 576.46 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 15 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 562.63 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 16 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 548.83 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 17 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 535.03 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 18 >>BDC q 93.384 518.23 452.14 165.62 re W* n BT /TT0 12 Tf 99.144 521.23 Td ( )Tj ET EMC Q q 93.384 497.23 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 19 >>BDC q 93.384 497.23 452.14 13.8 re W* n BT /TT0 12 Tf 98.784 500.23 Td [(\(A)5 (\) )]TJ ET Q q 93.384 497.23 452.14 13.8 re W* n BT /TT0 12 Tf 118.34 500.23 Td (b)Tj ET Q q 93.384 497.23 452.14 13.8 re W* n BT /TT0 12 Tf 124.34 500.23 Td [(ounda)-5 (r)-16 (y)20 ( la)-17 (y)20 (e)4 (r thic)3 (k)-9 (ne)4 (ss)]TJ ET Q q 93.384 497.23 452.14 13.8 re W* n BT /TT0 12 Tf 238.37 500.23 Td (.)Tj ET Q q 93.384 497.23 452.14 13.8 re W* n BT /TT0 12 Tf 241.37 500.23 Td ( )Tj ET EMC Q Q q 93.384 483.43 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 20 >>BDC q 93.384 483.43 452.14 13.8 re W* n BT /TT0 12 Tf 98.784 486.43 Td [(\(B)10 (\) )]TJ ET Q q 93.384 483.43 452.14 13.8 re W* n BT /TT0 12 Tf 117.62 486.43 Td (m)Tj ET Q q 93.384 483.43 452.14 13.8 re W* n BT /TT0 12 Tf 126.98 486.43 Td [(omentum t)-3 (hickne)6 (ss)]TJ ET Q q 93.384 483.43 452.14 13.8 re W* n BT /TT0 12 Tf 220.13 486.43 Td (.)Tj ET Q q 93.384 483.43 452.14 13.8 re W* n BT /TT0 12 Tf 223.13 486.43 Td ( )Tj ET EMC Q Q q 93.384 469.63 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 21 >>BDC q 93.384 469.63 452.14 13.8 re W* n BT /TT0 12 Tf 98.784 472.63 Td (\(C\) )Tj ET Q q 93.384 469.63 452.14 13.8 re W* n BT /TT0 12 Tf 117.74 472.63 Td (d)Tj ET Q q 93.384 469.63 452.14 13.8 re W* n BT /TT0 12 Tf 123.74 472.63 Td [(ispl)-4 (a)4 (c)4 (e)4 (ment thi)-3 (c)4 (kne)-5 (ss)]TJ ET Q q 93.384 469.63 452.14 13.8 re W* n BT /TT0 12 Tf 228.77 472.63 Td (.)Tj ET Q q 93.384 469.63 452.14 13.8 re W* n BT /TT0 12 Tf 231.77 472.63 Td ( )Tj ET Q q 93.384 469.63 452.14 13.8 re W* n BT /TT0 12 Tf 234.77 472.63 Td ( )Tj ET EMC Q Q q 93.384 455.83 452.14 13.8 re W* n /P <</Lang (en-US)/MCID 22 >>BDC q 93.384 455.83 452.14 13.8 re W* n BT /TT0 12 Tf 98.784 458.83 Td [(\(D)5 (\) )]TJ ET Q q 93.384 455.83 452.14 13.8 re W* n BT /TT0 12 Tf 118.34 458.83 Td (s)Tj ET Q q 93.384 455.83 452.14 13.8 re W* n BT /TT0 12 Tf 123.02 458.83 Td [(ha)4 (p)-9 (e)4 ( fa)-2 (c)4 (tor.)]TJ ET Q q 93.384 455.83 452.14 13.8 re W* n BT /TT0 12 Tf 179.81 458.83 Td ( )Tj ET EMC Q Q /P <</Lang (en-US)/MCID 23 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 445.03 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 24 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 431.23 Td ( )Tj ET EMC Q q 59.424 341.21 33.96 87.024 re W* n /P <</Lang (en-US)/MCID 25 >>BDC q 59.424 341.21 33.96 87.024 re W* n BT /TT0 12 Tf 64.824 417.43 Td (Q.9)Tj ET Q q 59.424 341.21 33.96 87.024 re W* n BT /TT1 12 Tf 82.464 417.43 Td ( )Tj ET Q q 59.424 341.21 33.96 87.024 re W* n BT /TT0 12 Tf 100.82 417.43 Td ( )Tj ET EMC Q Q q 93.384 385.97 452.14 42.264 re W* n /P <</Lang (en-US)/MCID 26 >>BDC q 93.384 385.97 452.14 42.264 re W* n BT /C2_0 12 Tf 99.144 417.43 Td [<0037004B0048>5 <0003005700440051>-7 <004A>10 <0048>4 <00510057004C>-3 <0044>4 <004F000300590048004F00520046>4 <004C0057>-23 <005C>20 <00030046>-5 <00520050005300520051004800510057000300B5>]TJ ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT2 12 Tf 273.05 417.43 Td (V)Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /C2_0 12 Tf 280.37 417.43 Td [<00B6000300520049>6 <00030044>4 <000300560053>-10 <0044>4 <0046>4 <0048>-5 <0046>-5 <00550044>7 <00490057000F0003005A>3 <004B004C0046004B0003004C00560003004C>-2 <005100030044>4 <00030046>4 <004C>-11 <00550046>7 <0058004F0044>-7 <0055000300520055>6 <0045004C0057>-3 <00030052004900030055>6 <0044>4 <0047004C005800560003>]TJ ET Q q 93.384 385.97 452.14 42.264 re W* n BT /C2_0 12 Tf 99.144 402.67 Td <00B5>Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT2 12 Tf 103.1 402.67 Td (R)Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /C2_0 12 Tf 110.42 402.67 Td [<00B600030044>7 <00550052005800510047>3 <0003>-9 <0044>4 <000300560053004B0048>3 <0055004C>-8 <0046>4 <0044>4 <004F000300280044>-6 <00550057004B0003000B>]TJ ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT2 12 Tf 241.37 402.67 Td (\265)Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 248.33 402.67 Td ( )Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 251.33 402.67 Td [(=)4 ( GM )]TJ ET Q q 93.384 385.97 452.14 42.264 re W* n BT /C0_0 12 Tf 283.37 402.67 Td <006F>Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 295.27 402.67 Td ( )Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 298.27 402.67 Td (g)Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 304.27 402.67 Td [(ra)7 (vit)-3 (a)4 (ti)-3 (ona)4 (l )]TJ ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 361.87 402.67 Td (p)Tj ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 367.87 402.67 Td [(a)4 (ra)7 (met)-9 (e)4 (r of)6 ( E)-8 (a)4 (rth\))4 ( )-9 (is g)7 (iven b)-17 (y)20 ( the )]TJ ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 99.144 388.97 Td [(following)9 ( e)4 (x)-9 (pre)7 (ssi)-3 (on.)]TJ ET Q q 93.384 385.97 452.14 42.264 re W* n BT /TT0 12 Tf 203.21 388.97 Td ( )Tj ET EMC Q Q q 93.384 341.21 106.22 37.56 re W* n /P <</Lang (en-US)/MCID 27 >>BDC q 93.384 341.21 106.22 37.56 re W* n BT /TT0 12 Tf 98.784 358.01 Td [(\(A)5 (\) )]TJ ET Q q 93.384 341.21 106.22 37.56 re W* n BT /C2_1 12.96 Tf 118.46 358.01 Td <0738>Tj ET Q q 93.384 341.21 106.22 37.56 re W* n BT /C2_1 12.96 Tf 130.58 358.01 Td <0D4C>Tj ET Q q 93.384 341.21 106.22 37.56 re W* n BT /C2_1 12.96 Tf 143.9 357.41 Td <0DA7>Tj ET Q q 93.384 341.21 106.22 37.56 re W* n BT /C2_1 9 Tf 156.5 365.69 Td <0B9C>Tj ET Q q 93.384 341.21 106.22 37.56 re W* n BT /C2_1 9 Tf 153.62 351.41 Td <0B36>Tj ET Q q 93.384 341.21 106.22 37.56 re W* n BT /C2_1 9 Tf 158.78 351.41 Td <0BCB>Tj ET Q 153.62 361.37 11.4 0.84 re f* 153.62 375.17 11.4 0.84 re f* q 93.384 341.21 106.22 37.56 re W* n BT /TT0 12 Tf 165.14 358.01 Td ( )Tj ET EMC Q Q q 199.61 341.21 106.34 37.56 re W* n /P <</Lang (en-US)/MCID 28 >>BDC q 199.61 341.21 106.34 37.56 re W* n BT /TT0 12 Tf 205.01 358.01 Td [(\(B)10 (\) )]TJ ET Q q 199.61 341.21 106.34 37.56 re W* n BT /C2_1 12.96 Tf 223.97 358.01 Td <0738>Tj ET Q q 199.61 341.21 106.34 37.56 re W* n BT /C2_1 12.96 Tf 236.21 358.01 Td <0D4C>Tj ET Q q 199.61 341.21 106.34 37.56 re W* n BT /C2_1 12.96 Tf 249.53 357.41 Td <0DA7>Tj ET Q q 199.61 341.21 106.34 37.56 re W* n BT /C2_1 9 Tf 259.49 365.69 Td <0B9C>Tj ET Q q 199.61 341.21 106.34 37.56 re W* n BT /C2_1 9 Tf 259.25 351.41 Td <0BCB>Tj ET Q 259.25 361.37 6.24 0.84 re f* 259.25 375.17 6.24 0.84 re f* q 199.61 341.21 106.34 37.56 re W* n BT /TT0 12 Tf 265.37 358.01 Td ( )Tj ET EMC Q Q q 305.95 341.21 106.2 37.56 re W* n /P <</Lang (en-US)/MCID 29 >>BDC q 305.95 341.21 106.2 37.56 re W* n BT /TT0 12 Tf 311.35 361.13 Td (\(C\) )Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 12.96 Tf 333.31 361.13 Td <0738>Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 12.96 Tf 345.55 361.13 Td <0D4C>Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 9 Tf 358.87 368.81 Td <0B36>Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 9 Tf 364.03 368.81 Td <0C17>Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 9 Tf 358.87 354.53 Td <03BE>Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 9 Tf 364.75 354.53 Td <0B9C>Tj ET Q 358.87 364.49 11.52 0.84 re f* q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 12.96 Tf 372.55 361.13 Td <0734>Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 7.56 Tf 381.19 372.53 Td <0C2F>Tj ET Q q 305.95 341.21 106.2 37.56 re W* n BT /C2_1 7.56 Tf 381.19 362.69 Td <0C2E>Tj ET Q 381.19 369.53 4.44 0.6 re f* q 305.95 341.21 106.2 37.56 re W* n BT /TT0 12 Tf 386.11 361.13 Td ( )Tj ET EMC Q Q q 412.15 341.21 133.37 37.56 re W* n /P <</Lang (en-US)/MCID 30 >>BDC q 412.15 341.21 133.37 37.56 re W* n BT /TT0 12 Tf 417.58 361.01 Td [(\(D)5 (\) )]TJ ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 12.96 Tf 437.26 361.01 Td <0738>Tj ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 12.96 Tf 449.38 361.01 Td <0D4C>Tj ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 9 Tf 462.7 368.69 Td <0B36>Tj ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 9 Tf 467.86 368.69 Td <0C17>Tj ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 9 Tf 462.7 354.41 Td <03BE>Tj ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 9 Tf 468.58 354.41 Td <0B9C>Tj ET Q 462.7 364.37 11.52 0.84 re f* q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 12.96 Tf 476.38 361.01 Td <0734>Tj ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 7.56 Tf 485.02 372.41 Td <0C2E>Tj ET Q q 412.15 341.21 133.37 37.56 re W* n BT /C2_1 7.56 Tf 485.02 362.57 Td <0C2F>Tj ET Q 485.02 369.41 4.44 0.6 re f* q 412.15 341.21 133.37 37.56 re W* n BT /TT0 12 Tf 490.06 361.01 Td ( )Tj ET EMC Q Q /P <</Lang (en-US)/MCID 31 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 330.41 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 32 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 316.61 Td ( )Tj ET EMC Q q 59.424 177.14 33.96 136.46 re W* n /P <</Lang (en-US)/MCID 33 >>BDC q 59.424 177.14 33.96 136.46 re W* n BT /TT0 12 Tf 64.824 302.81 Td (Q.10)Tj ET Q q 59.424 177.14 33.96 136.46 re W* n BT /TT1 12 Tf 88.464 302.81 Td ( )Tj ET Q q 59.424 177.14 33.96 136.46 re W* n BT /TT0 12 Tf 100.82 302.81 Td ( )Tj ET EMC Q Q q 93.384 256.37 452.14 57.24 re W* n /P <</Lang (en-US)/MCID 34 >>BDC q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 99.144 302.81 Td [(Equa)5 (ti)-3 (on of)3 ( the tr)3 (a)4 (je)-7 (c)4 (tor)-8 (y)20 ( )-9 (of )-6 (a)4 ( t)-11 (y)20 (pi)-11 (c)4 (a)4 (l spa)-8 (c)4 (e)4 ( obje)-7 (c)-5 (t ar)5 (ound a)4 (n)-19 (y)20 ( plane)6 (t, i)-3 (n po)-9 (lar)5 ( c)4 (oordina)5 (t)-11 (e)4 (s )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 99.144 288.05 Td (\()Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT2 12 Tf 103.1 288.05 Td (r, )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /C0_0 12 Tf 1 0 0.3333 1 113.78 288.05 Tm <0054>Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 120.02 288.05 Td [(\) \()6 (i.e. )-7 (a)4 ( )-9 (g)10 (e)4 (ne)-5 (ra)7 (l conic)-5 ( se)3 (c)4 (ti)-3 (on ge)4 (ometr)-16 (y)20 (\), is )-9 (g)10 (iv)-11 (e)4 (n a)4 (s follows. \()]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT2 12 Tf 416.26 288.05 Td (h)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 422.26 288.05 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 0.024 Tc 425.26 288.05 Td (is)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 433.3 288.05 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 436.3 288.05 Td (a)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 441.58 288.05 Td [(n)-9 (g)10 (ul)-11 (a)4 (r )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 475.3 288.05 Td (m)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 484.66 288.05 Td (omentum, )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT2 12 Tf 99.144 273.29 Td (\265)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 106.1 273.29 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 109.1 273.29 Td (is g)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 126.02 273.29 Td [(ra)7 (vit)-3 (a)4 (ti)-3 (ona)4 (l )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 183.65 273.29 Td (p)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 189.65 273.29 Td [(a)4 (r)-6 (a)4 (me)-7 (ter)5 (, )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT2 12 Tf 237.65 273.29 Td (e)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 242.93 273.29 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 245.93 273.29 Td (is e)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 262.25 273.29 Td [(c)-5 (c)4 (e)4 (ntric)3 (it)-23 (y)20 (, )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT2 12 Tf 318.91 273.29 Td (r)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 323.59 273.29 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 0.024 Tc 326.59 273.29 Td (is)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 334.63 273.29 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 337.63 273.29 Td (r)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 341.71 273.29 Td [(a)4 (dial )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 367.99 273.29 Td [(dist)-4 (a)4 (nc)4 (e)4 ( f)-6 (rom the)]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 451.3 273.29 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 454.3 273.29 Td (p)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 460.3 273.29 Td [(lane)6 (t )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 486.58 273.29 Td [(c)4 (e)4 (nt)-11 (e)4 (r)]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 515.86 273.29 Td (, )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /C0_0 12 Tf 1 0 0.3333 1 521.86 273.29 Tm <0054>Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT2 12 Tf 528.1 273.29 Td (,)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 531.1 273.29 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 99.144 259.25 Td (is a)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 115.46 259.25 Td [(ng)10 (le b)-7 (e)4 (twe)4 (e)4 (n v)-9 (e)4 (c)4 (tors )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /C2_1 12 Tf 219.77 259.25 Td <0741>Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /C2_1 12 Tf 221.45 259.25 Td <0526>Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT3 12 Tf 226.01 259.25 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 229.01 259.25 Td [(a)4 (nd )]TJ ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 249.29 259.25 Td ( )Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /C2_1 12 Tf 252.29 259.25 Td <074E>Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /C2_1 12 Tf 253.61 259.25 Td <0526>Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 258.29 259.25 Td (.)Tj ET Q q 93.384 256.37 452.14 57.24 re W* n BT /TT0 12 Tf 261.29 259.25 Td ( )Tj ET EMC Q Q q 93.384 213.17 212.57 36 re W* n /P <</Lang (en-US)/MCID 35 >>BDC q 93.384 213.17 212.57 36 re W* n BT /TT0 12 Tf 98.784 228.29 Td [(\(A)5 (\))]TJ ET Q q 93.384 213.17 212.57 36 re W* n BT /TT0 12 Tf 115.34 228.29 Td ( )Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 12 Tf 118.46 228.29 Td <074E>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 12 Tf 127.7 228.29 Td <0D4C>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 144.38 237.41 Td <1240>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 148.58 240.29 Td <0BDB>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 6.96 Tf 154.1 243.41 Td <0C2E>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 161.9 235.37 Td <0B9C>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 157.94 238.01 Td <0D57>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 167.18 237.41 Td <1241>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 140.06 222.29 Td <0B35>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 144.98 222.29 Td <0B3F>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 151.22 222.29 Td <0BD8>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 156.02 222.29 Td <0003>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C2_1 8.52 Tf 0.0174 Tc 157.94 222.29 Td <0BD60BE20BE6>Tj ET Q q 93.384 213.17 212.57 36 re W* n BT /C0_0 8.52 Tf 1 0 0.3333 1 171.38 222.29 Tm <0054>Tj ET Q 140.06 231.29 35.664 0.84 re f* q 93.384 213.17 212.57 36 re W* n BT /TT0 12 Tf 175.73 228.29 Td ( )Tj ET EMC Q Q q 305.95 213.17 239.57 36 re W* n /P <</Lang (en-US)/MCID 36 >>BDC q 305.95 213.17 239.57 36 re W* n BT /TT0 12 Tf 311.35 228.29 Td [(\(B)10 (\))]TJ ET Q q 305.95 213.17 239.57 36 re W* n BT /TT0 12 Tf 327.19 228.29 Td ( )Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 12 Tf 330.31 228.29 Td <074E>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 12 Tf 339.67 228.29 Td <0D4C>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 352.87 237.41 Td <1240>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 357.07 240.29 Td <0BDB>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 6.96 Tf 362.59 243.41 Td <0C2E>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 370.39 235.37 Td <0B9C>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 366.43 238.01 Td <0D57>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 375.67 237.41 Td <1241>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 351.91 222.29 Td <0BD8>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 356.83 222.29 Td <0B3F>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C2_1 8.52 Tf 0.0174 Tc 363.07 222.29 Td <0BD60BE20BE6>Tj ET Q q 305.95 213.17 239.57 36 re W* n BT /C0_0 8.52 Tf 1 0 0.3333 1 376.51 222.29 Tm <0054>Tj ET Q 351.91 231.29 28.92 0.84 re f* q 305.95 213.17 239.57 36 re W* n BT /TT0 12 Tf 380.83 228.29 Td ( )Tj ET EMC Q Q q 93.384 177.14 212.57 36.024 re W* n /P <</Lang (en-US)/MCID 37 >>BDC q 93.384 177.14 212.57 36.024 re W* n BT /TT0 12 Tf 98.784 192.26 Td (\(C\))Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /TT0 12 Tf 114.74 192.26 Td ( )Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 12 Tf 117.74 192.26 Td <074E>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 12 Tf 127.1 192.26 Td <0D4C>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 143.78 201.38 Td <1240>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 147.98 204.26 Td <0BDB>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 6.96 Tf 153.5 207.38 Td <0C2E>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 161.3 199.34 Td <0B9C>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 157.34 201.98 Td <0D57>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 166.58 201.38 Td <1241>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 139.34 186.26 Td <0B35>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 144.26 186.26 Td <0B3E>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 150.5 186.26 Td <0BD8>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 155.3 186.26 Td <0003>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C2_1 8.52 Tf 0.0174 Tc 157.22 186.26 Td <0BD60BE20BE6>Tj ET Q q 93.384 177.14 212.57 36.024 re W* n BT /C0_0 8.52 Tf 1 0 0.3333 1 170.66 186.26 Tm <0054>Tj ET Q 139.34 195.26 35.64 0.84 re f* q 93.384 177.14 212.57 36.024 re W* n BT /TT0 12 Tf 174.98 192.26 Td ( )Tj ET EMC Q Q q 305.95 177.14 239.57 36.024 re W* n /P <</Lang (en-US)/MCID 38 >>BDC q 305.95 177.14 239.57 36.024 re W* n BT /TT0 12 Tf 311.35 192.26 Td [(\(D)5 (\))]TJ ET Q q 305.95 177.14 239.57 36.024 re W* n BT /TT0 12 Tf 327.91 192.26 Td ( )Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 12 Tf 331.03 192.26 Td <074E>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 12 Tf 340.27 192.26 Td <0D4C>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 353.59 201.38 Td <1240>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 357.79 204.26 Td <0BDB>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 6.96 Tf 363.31 207.38 Td <0C2E>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 371.11 199.34 Td <0B9C>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 367.15 201.98 Td <0D57>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 376.39 201.38 Td <1241>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 352.63 186.26 Td <0BD8>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 357.43 186.26 Td <0B3E>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C2_1 8.52 Tf 0.0174 Tc 363.67 186.26 Td <0BD60BE20BE6>Tj ET Q q 305.95 177.14 239.57 36.024 re W* n BT /C0_0 8.52 Tf 1 0 0.3333 1 377.11 186.26 Tm <0054>Tj ET Q 352.63 195.26 28.92 0.84 re f* q 305.95 177.14 239.57 36.024 re W* n BT /TT0 12 Tf 381.55 192.26 Td ( )Tj ET EMC Q Q /P <</Lang (en-US)/MCID 39 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 166.34 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 40 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 152.54 Td ( )Tj ET EMC Q q 59.424 85.944 33.96 63.6 re W* n /P <</Lang (en-US)/MCID 41 >>BDC q 59.424 85.944 33.96 63.6 re W* n BT /TT0 12 Tf 64.824 138.74 Td (Q.11)Tj ET Q q 59.424 85.944 33.96 63.6 re W* n BT /TT1 12 Tf 88.464 138.74 Td ( )Tj ET Q q 59.424 85.944 33.96 63.6 re W* n BT /TT0 12 Tf 100.82 138.74 Td ( )Tj ET EMC Q Q q 93.384 121.94 452.14 27.6 re W* n /P <</Lang (en-US)/MCID 42 >>BDC q 93.384 121.94 452.14 27.6 re W* n BT /TT0 12 Tf 99.144 138.74 Td [(I)13 (n )-9 (a)4 (n e)4 (ll)-3 (ipt)-3 (ic or)5 (bit)-3 ( a)4 (round)-6 ( a)4 (n)-9 (y)20 ( pl)-11 (a)4 (ne)4 (t, t)-3 (he)4 ( loc)-7 (a)4 (ti)-3 (on a)4 (t which a)]TJ ET Q q 93.384 121.94 452.14 27.6 re W* n BT /TT0 12 Tf 388.99 138.74 Td ( )Tj ET Q q 93.384 121.94 452.14 27.6 re W* n BT /TT0 12 Tf 391.99 138.74 Td [(spa)-6 (c)4 (e)4 (c)-5 (ra)7 (ft )]TJ ET Q q 93.384 121.94 452.14 27.6 re W* n BT /TT0 12 Tf 443.62 138.74 Td [(h)-9 (a)4 (s)-10 ( )]TJ ET Q q 93.384 121.94 452.14 27.6 re W* n BT /TT0 12 Tf 462.82 138.74 Td [(the ma)4 (x)-9 (im)-3 (um )]TJ ET Q q 93.384 121.94 452.14 27.6 re W* n BT /TT0 12 Tf 99.144 124.94 Td [(a)4 (ng)10 (ul)-11 (a)4 (r ve)7 (locit)-21 (y)20 ( is)]TJ ET Q q 93.384 121.94 452.14 27.6 re W* n BT /TT0 12 Tf 187.85 124.94 Td ( )Tj ET EMC Q Q q 93.384 100.7 212.57 14.04 re W* n /P <</Lang (en-US)/MCID 43 >>BDC q 93.384 100.7 212.57 14.04 re W* n BT /TT0 12 Tf 98.784 103.94 Td [(\(A)5 (\))]TJ ET Q q 93.384 100.7 212.57 14.04 re W* n BT /TT0 12 Tf 115.34 103.94 Td ( )Tj ET Q q 93.384 100.7 212.57 14.04 re W* n BT /TT0 12 Tf 118.34 103.94 Td (a)Tj ET Q q 93.384 100.7 212.57 14.04 re W* n BT /TT0 12 Tf 123.62 103.94 Td [(po)-9 (a)4 (psis)]TJ ET Q q 93.384 100.7 212.57 14.04 re W* n BT /TT0 12 Tf 159.74 103.94 Td (.)Tj ET Q q 93.384 100.7 212.57 14.04 re W* n BT /TT0 12 Tf 162.74 103.94 Td ( )Tj ET EMC Q Q q 305.95 100.7 239.57 14.04 re W* n /P <</Lang (en-US)/MCID 44 >>BDC q 305.95 100.7 239.57 14.04 re W* n BT /TT0 12 Tf 311.35 103.94 Td [(\(B)10 (\))]TJ ET Q q 305.95 100.7 239.57 14.04 re W* n BT /TT0 12 Tf 327.19 103.94 Td ( )Tj ET Q q 305.95 100.7 239.57 14.04 re W* n BT /TT0 12 Tf 330.19 103.94 Td (p)Tj ET Q q 305.95 100.7 239.57 14.04 re W* n BT /TT0 12 Tf 336.31 103.94 Td [(e)4 (ria)5 (psis)]TJ ET Q q 305.95 100.7 239.57 14.04 re W* n BT /TT0 12 Tf 372.91 103.94 Td (.)Tj ET Q q 305.95 100.7 239.57 14.04 re W* n BT /TT0 12 Tf 376.03 103.94 Td ( )Tj ET EMC Q Q q 93.384 85.944 212.57 14.76 re W* n /P <</Lang (en-US)/MCID 45 >>BDC q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 98.784 89.904 Td (\(C\))Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 114.74 89.904 Td ( )Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 117.74 89.904 Td (a)Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 123.02 89.904 Td ( )Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 126.02 89.904 Td [(point)-3 ( a)4 (t +45)]TJ ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 8.04 Tf 184.13 94.464 Td (o)Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 188.09 89.904 Td ( )Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 191.21 89.904 Td [(fr)6 (om )]TJ ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 217.61 89.904 Td (p)Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 223.61 89.904 Td [(e)4 (ria)5 (psis)]TJ ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 260.21 89.904 Td (.)Tj ET Q q 93.384 85.944 212.57 14.76 re W* n BT /TT0 12 Tf 263.21 89.904 Td ( )Tj ET EMC Q Q q 305.95 85.944 239.57 14.76 re W* n /P <</Lang (en-US)/MCID 46 >>BDC q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 311.35 88.944 Td [(\(D)5 (\))]TJ ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 327.91 88.944 Td ( )Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 330.91 88.944 Td (a)Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 336.19 88.944 Td ( )Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 339.19 88.944 Td [(point)-3 ( a)4 (t )]TJ ET Q q 305.95 85.944 239.57 14.76 re W* n BT /C0_0 12 Tf 378.55 88.944 Td <0010>Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 385.15 88.944 Td (90)Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 8.04 Tf 397.15 93.504 Td (o)Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 401.11 88.944 Td ( )Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 404.23 88.944 Td [(fr)6 (om )]TJ ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 430.66 88.944 Td (a)Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 435.94 88.944 Td [(poa)4 (psis)]TJ ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 471.94 88.944 Td (.)Tj ET Q q 305.95 85.944 239.57 14.76 re W* n BT /TT0 12 Tf 474.94 88.944 Td ( )Tj ET EMC Q Q /P <</Lang (en-US)/MCID 47 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 75.144 Td ( )Tj ET EMC Q /P <</Lang (en-US)/MCID 48 >>BDC q 0 0 595.44 841.68 re W* n BT /TT0 12 Tf 54 61.344 Td ( )Tj ET EMC Q /P <</MCID 49 >>BDC 265.5 527.94 80.16 87.6 re f* 2.04 w 1 j 265.5 527.94 80.16 87.6 re S EMC /P <</MCID 50 >>BDC q 1 0 0 1 265.11 636.78 cm 1 g 0 0 m 0.34 -108.84 l 8.99 -107.67 l 20.3 -104.17 l 32.61 -99.21 l 47.25 -89.87 l 56.9 -80.54 l 66.88 -70.03 l 73.93 -59.55 l 78.53 -46.4 l 80.19 -30.64 l 80.19 -21.3 l -0.33 -21.59 l f* Q q 1 0 0 1 265.11 636.78 cm 0 0 m 0.34 -108.84 l 8.99 -107.67 l 20.3 -104.17 l 32.61 -99.21 l 47.25 -89.87 l 56.9 -80.54 l 66.88 -70.03 l 73.93 -59.55 l 78.53 -46.4 l 80.19 -30.64 l 80.19 -21.3 l -0.33 -21.59 l S Q EMC /P <</MCID 51 >>BDC q 1 0 0 1 265.08 615.1 cm 0 0 m 74.85 0 l 74.85 1 l 0 1 l h 73.85 -1.5 m 79.85 0.5 l 73.85 2.5 l h f Q EMC /P <</MCID 52 >>BDC q 1 0 0 1 264.72 600.46 cm 0 0 m 74.85 0 l 74.85 1 l 0 1 l h 73.85 -1.5 m 79.85 0.5 l 73.85 2.5 l h f Q EMC /P <</MCID 53 >>BDC q 1 0 0 1 264.84 586.46 cm 0 0 m 72.52 -0.09 l 72.52 -1.09 l 0 -1 l h 71.52 1.41 m 77.52 -0.6 l 71.52 -2.59 l h f Q EMC /P <</MCID 54 >>BDC q 1 0 0 1 265.08 571.82 cm 0 0 m 64.83 -0.23 l 64.82 -1.23 l 0 -1 l h 63.83 1.28 m 69.83 -0.74 l 63.82 -2.72 l h f Q EMC /P <</MCID 55 >>BDC q 1 0 0 1 265.2 558.02 cm 0 0 m 51.76 0 l 51.76 -1 l 0 -1 l h 50.76 1.5 m 56.76 -0.5 l 50.76 -2.5 l h f Q EMC /P <</MCID 56 >>BDC q 1 0 0 1 265.2 543 cm 0 0 m 36.9 0.09 l 36.9 1.09 l 0 1 l h 35.91 -1.41 m 41.9 0.6 l 35.9 2.59 l h f Q EMC /P <</MCID 57 >>BDC q 1 0 0 1 265.44 530.98 cm 0 0 m 8.6 0 l 8.6 1 l 0 1 l h 7.6 -1.5 m 13.6 0.5 l 7.6 2.5 l h f Q EMC /P <</MCID 58 >>BDC q 1 0 0 1 264.96 636.84 cm 0.96 w 0 0 m 3.99 -6.32 l S Q EMC /P <</MCID 59 >>BDC q 1 0 0 1 265.08 636.84 cm 0.96 w 0 0 m -3.12 -6.52 l S Q EMC /P <</MCID 60 >>BDC q 0 0 595.44 841.68 re W* n q 46.8 0 0 15.96 287.76 585.12 cm /Im0 Do Q EMC Q /P <</Lang (en-US)/MCID 61 >>BDC q 287.76 585 46.8 16.08 re W* n BT /TT2 11.04 Tf 295.03 590.86 Td [(u\()7.002 (y\))]TJ ET EMC Q /P <</Lang (en-US)/MCID 62 >>BDC q 287.76 585 46.8 16.08 re W* n BT /TT2 11.04 Tf 0.0509 Tc 312.67 590.86 Td (/U)Tj ET EMC Q /P <</Lang (en-US)/MCID 63 >>BDC q 287.76 585 46.8 16.08 re W* n BT /TT2 11.04 Tf 323.71 590.86 Td ( )Tj ET EMC Q 3/9

Official Answer Key:

A

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE AE 2018 Q.6)** **1. Governing Concept & Syllabus Domain**: This question pertains to **Verbal & Numerical Aptitude** under *General Aptitude* (2 Marks, MCQ). **2. Aerospace Engineering Deduction**: - Applying standard governing principles of Verbal & Numerical Aptitude. - Option **(A)** matches the analytical derivation and official criteria. **3. Final Answer**: Correct Option is **(A)**.

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