Conic Sections Question 129

Question: The equation of the normal at the point $ ( \frac{a}{4},\ a ) $ to the parabola $ y^{2}=4ax $ , is

[RPET 1984]

Options:

A) $ 4x+8y+9a=0 $

B) $ 4x+8y-9a=0 $

C) $ 4x+y-a=0 $

D) $ 4x-y+a=0 $

Show Answer

Answer:

Correct Answer: B

Solution:

$ x+2y=4. $

therefore $ 2y+x=2a+\frac{a}{4}=\frac{9a}{4} $

therefore $ 2y+x-\frac{9a}{4}=0 $

i.e., $ 4x+8y-9a=0 $ .