## Question

### Solution

Correct option is

A hyperbola

If y = αx + β touches the hyperbola , then  which represents a hyperbola.

#### SIMILAR QUESTIONS

Q1

Find the equation of the hyperbola whose asymptotes are x + 2y + 3 = 0 and 3x + 4y + 5 = 0 and which passes through the point

(1,–1 ). Find also the equation of the conjugate of the conjugate hyperbola.

Q2

The vertices of the hyperbola Q3

The centre of the hyperbola Q4

The eccentricity of the hyperbola with latusrectum 12 and semi-conjugate axis , is

Q5

The equation of the hyperbola with vertices (3, 0) and (–3, 0) and semi-latusrectum 4, is given by

Q6

The equation of the tangent to the curve 4x2 – 9y2 = 1 which is parallel to 4y = 5x + 7, is

Q7

The equation of the tangent parallel to y = x drawn to is

Q8

If m is a variable, the locus of the point of intersection of the lines is a/an

Q9

If the chords of contact of tangents from two points (x1y1) and (x2y2) to the hyperbola are at right angles, then is equal to

Q10

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