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 \[=2\int_{{}}^{{}}{ydx}\] \[=2\int\limits_{0}^{3}{\sqrt{12}}\sqrt{x}dx=24\]