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  • The length of subnormal to the parabola  at any point is equal t

The length of subnormal to the parabola  \mathrm{y^{2}=4 a x} at any point is equal to

Option: 1

\mathrm{a} \sqrt{2}


Option: 2

\mathrm{2 \sqrt{2} a}


Option: 3

\mathrm{a/ \sqrt{2}}


Option: 4

\mathrm{2a}


Answers (1)

Length of subnormal at point \mathrm{\left(x_{1}, y_{1}\right)=y_{1} \frac{d y}{d x}=y_{1} \cdot \frac{2 a}{y_{1}}=2 a}.

Hence  (D)  is  the  correct answer.

Posted by

Sumit Saini

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