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The parabola y^2=x divides the circle x^2+y^2=2 into two parts whose areas are in the ratio

JEE Main 2012 — Mathematics Calculus

2012mcqhard

The parabola y2=xy^2=xy2=x divides the circle x2+y2=2x^2+y^2=2x2+y2=2 into two parts whose areas are in the ratio

Official previous-year question

Held on 7 May 2012 · Verified 6 Jul 2026.

Options

  1. A

    9π+2:3π−29 \pi+2: 3 \pi-29π+2:3π−2

  2. B

    9π−2:3π+29 \pi-2: 3 \pi+29π−2:3π+2

  3. C

    7π−2:2π−37 \pi-2: 2 \pi-37π−2:2π−3

  4. D

    7π+2:3π+27 \pi+2: 3 \pi+27π+2:3π+2

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