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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