Find The Eccentricity Of The Ellipse, Whose Foci Are (–3, 4) And (3, –4) And Which Passes Through The Point (1, 2)

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Question

Find the eccentricity of the ellipse, whose foci are (–3, 4) and (3, –4) and which passes through the point (1, 2)

None of these

easy

Solution

Correct option is

Sum of the focal distance of

. Distance between foci (where a is the length of semi major axis and e is the eccentricity of the ellipse).

.

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SIMILAR QUESTIONS

Q1

A variable point P on the ellipse eccentricity e is joined to its foci S, S’. The locus of the incentre of is an ellipse of eccentricity

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Q2

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Q3

The equation of the ellipse with focus (–1, 1), directrix x – y + 3 = 0 and eccentricity , is

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Q4

The equation of the ellipse whose center is at origin and whihch passes through the points (–3, 1) and (2, –2) is

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Q5

The equation x² + 4xy + y² + 2x + 4y + 2 = 0 represents

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Q6

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Q7

The equation of the ellipse whose foci are and one of its directrix is 5x = 36.

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Q8

Center of hyperbola 9x² – 16y² + 18x + 32y – 151 = 0 is

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Q9

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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Q10

If is a tangent to the ellipse , then find out the eccentric angle of the point of tangency.

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