Question

If area bounded by the curves x = ay² and y = ax² is 1, then a = _________

(A)  3

(B)  1/3

(C)  1/2

(D)  1√3

Answer 1

Correct option  (D)  1√3

Explanation:

x = ay² & y = ax² 

Area of region = 1/3a² = 1 {∴ Area bounded by y² = 4ax & x² = 4by = 16/3 ab}

 a = 1/√3