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NDA | Mathematics | Ellipse

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Question 1

Find the foci of the ellipse ?

Question 2

If the line  to touches the ellipse , then

Question 3

If  and  denote the lengths of the perpendicular from a focus and the centre of an ellipse with semi-major axis of length , respectively, on a tangent to the ellipse and  denotes the focal distance of the point, then

Question 4

The equation of the ellipse whose vertices are at  and foci at  is
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NDA
Apr 24NDA