Question

The area (in square units) of the region bounded by the curves y + 2x² = 0 and y + 3x² = 1 is equal to 

(A) 3/5 

(B) 3/4 

(C) 1/3 

(D) 4/3

Answer 1

Answer is (D) 4/3

See Fig

At the point of intersection of C₁ and C₂ 

-2x² = 1 - 3x² ⇒ x² = 1 ⇒ x = ±1 

Therefore, A (-1, -2) and B (1, -2) are points of intersection as shown above. 

So, required area is