The eccentricity of an ellipse whose center is at the origin is . If one of its directrices is , then the equation of the normal to it at is:

Explanation: 1. Determine the Equation of the Ellipse: The directrix of an ellipse centered at the origin is given by . Given and the directrix : Using : The ellipse equation is: 2. Find the Equation of the Normal: The equation of the normal to the ellipse at point is: Substitute , , , and : Correct Option: (d)

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NIMCET 2026 — Mathematics PYQ

NIMCET | Mathematics | 2026

The eccentricity of an ellipse whose center is at the origin is $\frac{1}{2}$ . If one of its directrices is $x = - 4$ , then the equation of the normal to it at $(1, \frac{3}{2})$ is:

NIMCET 2026 — Mathematics PYQ

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