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
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).
.
SIMILAR QUESTIONS
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
The locus of the point of intersection of two perpendicular tangent to the ellipse , is
The equation of the ellipse with focus (–1, 1), directrix x – y + 3 = 0 and eccentricity , is
The equation of the ellipse whose center is at origin and whihch passes through the points (–3, 1) and (2, –2) is
The equation x^{2} + 4xy + y^{2} + 2x + 4y + 2 = 0 represents
The equation of the tangent to the ellipse x^{2} + 16y^{2} = 16 making an angle of 60^{0} with xaxis is
The equation of the ellipse whose foci are and one of its directrix is 5x = 36.
Center of hyperbola 9x^{2} – 16y^{2} + 18x + 32y – 151 = 0 is
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
If is a tangent to the ellipse , then find out the eccentric angle of the point of tangency.