The area bounded by the parabola y² = x and the line y = x − 2 is:

The area bounded by the parabola y² = x and the line y = x − 2 is:

• A. 9/2 sq units
• B. 9 sq units
• C. 15/2 sq units
• D. 6 sq units

Answer: A) 9/2 sq units

Explanation: Intersection: y² = y + 2 → y² − y − 2 = 0 → (y−2)(y+1) = 0 → y = −1, 2. Area = ∫[y=−1 to 2] [(y+2) − y²] dy = [y²/2 + 2y − y³/3]₋₁² = (2+4−8/3) − (1/2−2+1/3) = (10/3) − (−7/6) = 27/6 = 9/2 sq units.