## Question

### Solution

Correct option is

The equation of the director circles of ellipse and hyperbola are

#### SIMILAR QUESTIONS

Q1

The eccentricity of the conjugate hyperbola of the hyperbola x2 – 3y2 = 1 is

Q2

The slopes of the common tangents of the hyperbolas  and

Q3

A hyperbola, having the transverse axis of the length , is confocal with the ellipse 3x2 + 4y2 = 12. Then, its equation is

Q4

The locus of point of intersection of tangents at the ends of normal chord of the hyperbola x2 – y2 = a2 is

Q5

If a hyperbola passing through the origin has 3x – 4y – 1 = 0 and 4x – 3y – 6 = 0 as its asymptotes, then the equations of its transverse and conjugate axes are

Q6

If H(xy) = 0 represents the equation of a hyperbola and A(xy) = 0, C(x,y) = 0 the joint equation of its asymptotes and the conjugate hyperbola respectively, then for any point (α, β) in the plane,  are in

Q7

The equation of a tangent to the hyperbola  which make an angle π/4 with the transverse axis, is

Q8

For the hyperbola  which of the following remains constant with change in ‘α’

Q9

The equation of the line passing through the centre of a rectangular hyperabola is x – y – 1 = 0. If one of its asymptotes is 3x – 4y – 6 = 0, the equation of the other asymptotes is

Q10

are two points on the hyperbola  such that  (a constant), then PQ touches the hyperbola