question_answer

The area enclosed by the parabola \[{{y}^{2}}=12x\] and its latus rectum is -

A) \[36\]                           

B) \[24\]

C) \[18\]                           

D) \[12\]

Correct Answer: B

Solution :

 Required area\[=2\int{y\,\,dx}\] \[=2\int\limits_{0}^{3}{\sqrt{12}}\sqrt{x}dx=24\]