Conic Sections Question 126
Question: The maximum number of normal that can be drawn from a point to a parabola is
[MP PET 1990]
Options:
A) 0
B) 1
C) 2
D) 3
Show Answer
Answer:
Correct Answer: D
Solution:
equation of normal is given by $y=mx−2am−am^3$
where equation of parabola is $y^2=4ax$
clearly, it is a cubic equation in m and hence three values of possible m for normalhence three normal’s can be drawn from any point(maximum)