A) 9 square units
B) 12 square units
C) 14 square units
D) 18 square units
Correct Answer: D
Solution :
[d] Given parabola is \[{{x}^{2}}=12y\] which is of the form \[{{x}^{2}}=4ay.\] \[\Rightarrow 4a=12\Rightarrow a=3\] Now, LM is the latus rectum whose length \[=4a=4\times 3=12\] So, area of \[\Delta LMV=\frac{1}{2}\times LM\times VF.\] \[=\left( \frac{1}{2}\times 12\times 3 \right)\] sq. unit = 18 square unitYou need to login to perform this action.
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