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JEE Main 2017 Mathematics question

MathematicsEllipseJEE Main 2017

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

Answer: (2)

Solution

For an ellipse with , a directrix is . Given the directrix and ,

Missing argument for \frac\frac ae = 4 a = 4ยทMissing argument for \tfrac\tfrac12 = 2, = 4.

Then , so the ellipse is

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Question ID VK-115742