Conic Sections Question 136

Question: If a normal drawn to the parabola $ y^{2}=4ax $ at the point $ (a,\ 2a) $ meets parabola again on $ (at^{2},\ 2at) $ , then the value of t will be

[RPET 1990]

Options:

A) 1

B) 3

C) -1

D) -3

Show Answer

Answer:

Correct Answer: D

Solution:

We know that $ t_2=-t_1-\frac{2}{t_1} $

Put $ t_1=1 $ and $ t_2=t $ .

Hence $ t=-3 $ .