Conic Sections Question 126

The maximum number of normals that can be drawn from a point to a parabola is

[MP PET 1990]

Options:

0

1

2

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 normal; hence three normals can be drawn from any point (maximum)



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