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)