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 $ .