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

0

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1

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2

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3

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Solution

The correct option is C $3$
equation of normal is given by $y = m x - 2 a m - a m^{3}$
where equation of parabola is $y^{2} = 4 a x$
clearly, it is a cubic equation in m and hence three values of possible m for normal
hence three normal's can be drawn from any point(maximum)

Suggest Corrections

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