Question

Find the area enclosed between parabola y² = x and the line x + y = 2.

Answer 1

Given y² = x and x + y = 2 ⇒ (2 – x)² = x 

∴ y = 2 – x 

⇒ 4 + x² – 4x – x = 0 

⇒ x² – 5x – 4 = 0 

⇒ x = 4 or