Center of hyperbola 9x2 – 16y2 + 18x + 32y – 151 = 0 is
9x2 – 16y2 + 18x + 32y – 151 = 0
Center = (–1, 1).
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 of the ellipse whose center is at origin and whihch passes through the points (–3, 1) and (2, –2) is
The equation x2 + 4xy + y2 + 2x + 4y + 2 = 0 represents
The equation of the tangent to the ellipse x2 + 16y2 = 16 making an angle of 600 with x-axis is
The equation of the ellipse whose foci are and one of its directrix is 5x = 36.
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