The equation of the ellipse whose center is at origin and whihch passes through the points (–3, 1) and (2, –2) is
3x2 + 5y2 = 32
passes through (–3, 1) and (2, –2).
Use this fact to find .
If P and D are the extremities of a pair of conjugate diameters of the ellipse , then the locus of the middle point ofPD is
The equation of the ellipse, referred to its axes as the axes of coordinates, which passes through the points (2, 2) and (1, 4) is
If CP and CD be any two semi-conjugate diameters of the ellipse and the circle with CP and CD as diameters intersect in R, then R lies on the curve
The locus of the point whose polar with respect to the ellipse touches the parabola y2 = 4kx is
The polar of lx + my =1 with respect to the ellipse lies on the ellipse if
The locus of the poles of the tangents to the ellipse w.r.t. the circle x2 + y2 = a2 is
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 x2 + 4xy + y2 + 2x + 4y + 2 = 0 represents