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Q.

For a >0, let the curves C1:y2=ax and C2:x2= ay intersect at origin O and a point P .  Let the line x=b(0

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a

x6+6x3-4=0

b

x6-12x3+4=0

c

x6-12x3-4=0

d

x6-6x3+4=0

answer is B.

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Detailed Solution

∫0bax-x2adx=1216a4a43⇒2ab33-b33a=a26 Also b22=12⇒b=1∴2a3-13a=a264a=a2+2a⇒ 16a=a4+4a2+4a⇒ a6-12a3+4=0
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For a >0, let the curves C1:y2=ax and C2:x2= ay intersect at origin O and a point P .  Let the line x=b(0