The Equation Of The Ellipse Whose Centre Is (2, –3), One Of The Foci Is (3, –3) And The Responding Vertex Is (4, –3) Is

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Question

The equation of the ellipse whose centre is (2, –3), one of the foci is (3, –3) and the responding vertex is (4, –3) is

None of these

easy

Solution

Correct option is

Center (2, –3), S(3, –3) vertex is A(4, –3).

From the diagram

ae = 1, CA = 4 – 2 = 2.

a = 2 or ae = 1

So equation of ellipse is

.

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