## Question

### Solution

Correct option is

Let the lines represented by

but y = mx and y = m1x are the conjugate diameters of

then,

∴ From (i) and (ii),

which is the required condition.

#### SIMILAR QUESTIONS

Q1

Find the equation of the hyperbola whose foci are (6, 4) and (–4, 4) and eccentricity is 2.

Q2

Obtain the equation of a hyperbola with coordinate axes as principal axes given that the distances of one of its vertices from the foci are 9 and 1 units.

Q3

The foci of a hyperbola coincide with the foci of the ellipse . Find the equation of the hyperbola if its eccentricity is 2.

Q4

For what value of λ does the line y = 2x + λ touches the hyperbola

Q5

Find the equation of the tangent to the hyperbola x2 – 4y2 = 36 which is perpendicular to the line x – y + 4 = 0.

Q6

Find the equation and the length of the common tangents to hyperbola

Q7

Find the locus of the foot of perpendicular from the centre upon any normal to the hyperbola .

Q8

Find the locus of the mid-points of the chords of the hyperbola  which subtend a right angle at the origin.

Q9

Find the locus of the poles of normal chords of the hyperbola

Q10

Find the asymptotes of the hyperbola xy – 3y – 2x = 0.