## Question

### Solution

Correct option is

±1

Given hyperbola are and, The equation of any tangent to (i) is If it touches (ii), then  #### SIMILAR QUESTIONS

Q1

The equation of the chord joining two points (x1y1) and (x2y2) on the rectangular hyperbola xy = c2 is

Q2

If the line y = 2x + λ be a tangent to the hyperbola 36x2 – 25y2 = 3600, then λ is equal to

Q3

From any point on the hyperbola tangents are drawn to the hyperbola . The area cut-off by the chord of contact on the asymptotes is equal to

Q4

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

Q5

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

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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