Question

Solution

Correct option is The transverse axis is the bisector of the angle between asymptotes containing the origin and the conjugate axis is the other bisector. So, their equations are given by and,  SIMILAR QUESTIONS

Q1

PQ and RS are two perpendicular chords of the rectangular hyperbola xyc2. If C is the centre of the rectangular hyperbola, then the product of the slopes of CPCQCR and CS equal to

Q2

Let be two points on the hyperbola . If (hk) is the point of intersection of the normal of P and Q, then k is equal to

Q3

If x = 9 is the chord of contact of the hyperbola x2 – y2 = 9, then the equation of the corresponding pair of tangents is

Q4

If e and e’ be the eccentricities of two conics S = 0 and S’ = 0 and if e2 +e2 = 3, then both S and S’ can be

Q5

If e1 is the eccentricity of the ellipse and e2 is the eccentricity of the hyperbola passing through the foci of the ellipse and e1e2 = 1, then the equation of the parabola, is

Q6

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

Q7

The slopes of the common tangents of the hyperbolas and Q8

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

Q9

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

Q10

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