Question

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

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

Q2

The locus of the point of intersection of two perpendicular tangent to the ellipse , is

Q3

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

Q4

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

 

Q5

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

Q6

The equation of the tangent to the ellipse x2 + 16y2 = 16 making an angle of 600 with x-axis is

Q7

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

Q8

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

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

Q10

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