question_answer

The area of the triangle formed by the lines joining the vertex of the parabola \[{{x}^{2}}=12y\] to the ends of its latus rectum is

A)            12 sq. unit                                 

B)            16 sq. unit

C)            18 sq. unit                                 

D)            24 sq. unit

Correct Answer: C

Solution :

           \[\Delta =\frac{1}{2}(12\times 3)=18\]sq. unit