The area bounded by the curves y^2 = 9x, x – y + 2 = 0 is given by
- A. 1
- B. 1/2
- C. 3/2
- D. 5/4
Answer: B. 1/2
Explanation: Intersection points of y² = 9x and x = y − 2 give y = 3 and y = 6. Area = ∫₃⁶ [(y − 2) − y²/9] dy = [y²/2 − 2y − y³/27]₃⁶ = (−2) − (−2.5) = 1/2.