For a 0, let the curves C_1:y^2=ax and C_2:x^2=ay intersect at origin O and a point P. Let the line x = b...

Question

For a > 0, let the curves C_1:y^2=ax and C_2:x^2=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, C_1 and C_2, and the area of OQR= 1 2 , then 'a' satisfies the equation-

Accepted Answer

(D)

JEE Main 2020 Mathematics question

Solution