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 $ .