Conic Sections Question 128

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

[MNR 1991; UPSEAT 2000]

Options:

A) $ \frac{1}{t} $

B) t

C) -t

D) $ -\frac{1}{t} $

Show Answer

Answer:

Correct Answer: C

Solution:

Normal is $ y-2at_1=\frac{-2at}{2a}(x-at^{2}) $

Therefore, slope
$ \Rightarrow $ .