JEE Main 20208 Jan, Morning shiftMathematicsHardIntegral Calculus369× since 2002
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 < b < a) intersect the chord
OP and the x-axis at points Q and R,
respectively. If the line x = b bisects the area
bounded by the curves, C₁ and C₂, and the area of
OQR = , then 'a' satisfies the equation :