Question

Area common to the curves y² = ax and x² + y² = 4ax is equal to

(A) (9√3 + 4π)a²/3

(B) (9√3 + 4π)a²

(C) (9√3 - 4π)a²/3

(D) None of these 

Answer 1

Answer is (D) None of these

See Fig.

y² = ax, x² + y² - 4ax = 0 

y² = 4ax - x²

x² + ax – 4ax = 0

x² - 3ax = 0

x(x - 3a) = 0

x = 0, x = 3a