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  • At what point on the parabola , the normal makes equal angles with the axes?<div

At what point on the parabola \mathrm{y^2=4 x}, the normal makes equal angles with the axes?

Option: 1

(4,4)


Option: 2

(9,6)


Option: 3

(4,-4)


Option: 4

(1,-2)


Answers (1)

\mathrm{\text { Let } P\left(m^2,-2 m\right) \text { be the point on the parabola, }}

\mathrm{y^2=4 x} 4x, where m is the slope of the normal. Since, the normal makes equal angles with axes, therefore m = ±1

⇒ P(1, –2) or P(1, 2) be the required point.

Posted by

Sumit Saini

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