Question

Find the area enclosed between the parabolas y² – 2y + 4x + 5 = 0 and x² + 2x – y + 2 = 0.

Answer 1

Given curves are y² – 2y + 4x + 5 = 0 and x² + 2x – y + 2 = 0 

(y – 1)² = – 4(x + 1) and (x + 1)² = (y – 1)

Hence, the required area