## Question

### Solution

#### SIMILAR QUESTIONS

The locus of the point whose polar with respect to the ellipse touches the parabola *y*^{2} = 4*kx* 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 *x*^{2} + *y*^{2} = *a*^{2} 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 *x*^{2} + 4*xy* + *y*^{2} + 2*x* + 4*y* + 2 = 0 represents

The equation of the tangent to the ellipse *x*^{2} + 16*y*^{2} = 16 making an angle of 60^{0} with x-axis is

Center of hyperbola 9*x*^{2} – 16*y*^{2} + 18*x* + 32*y* – 151 = 0 is