Determine the precise area enclosed between the two parabolas y² = x and x² = y. A. 1/3 B. 1/6 C. 2/3 D. 1/2 Answer: A) 1/3 Explanation: Intersections at (0,0) and (1,1). Area = ∫(0 to 1) (√x − x²) dx = [2/3 x^(3/2) − x³/3] = 2/3 − 1/3 = 1/3 sq units.

imo class 12 application of integrals

Determine the precise area enclosed between the two parabolas y² = x and x² = y.

VAVidaara Admin Asked 6d ago 0 views 0 answers

Determine the precise area enclosed between the two parabolas y² = x and x² = y.

Answer: A) 1/3

Explanation: Intersections at (0,0) and (1,1). Area = ∫(0 to 1) (√x − x²) dx = [2/3 x^(3/2) − x³/3] = 2/3 − 1/3 = 1/3 sq units.