The area of the region bounded by the parabola y² = 4ax and its latus rectum is: A. (8/3)a² sq units B. (4/3)a² sq units C. (2/3)a² sq units D. (8/3)a sq units Answer: A) (8/3)a² sq units Explanation: Latus rectum is x = a. Area = 2 × ∫[0 to a] √(4ax) dx = 4√a ∫[0 to a] √x dx = 4√a × (2/3)a^(3/2) = (8/3)a² sq units.

imo class 12 application of integrals

The area of the region bounded by the parabola y² = 4ax and its latus rectum is:

VAVidaara Admin Asked 6d ago 0 views 0 answers

The area of the region bounded by the parabola y² = 4ax and its latus rectum is:

Answer: A) (8/3)a² sq units

Explanation: Latus rectum is x = a. Area = 2 × ∫[0 to a] √(4ax) dx = 4√a ∫[0 to a] √x dx = 4√a × (2/3)a^(3/2) = (8/3)a² sq units.