Question

Solution

Correct option is Let coordinates of AB and C on the hyperbola xy = c2 are respectively.

1. Area of triangle ABC,    2. equations of tangents at ABC are    where,  From (i)   SIMILAR QUESTIONS

Q1

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

Q2

Find the equation and the length of the common tangents to hyperbola Q3

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

Q4

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

Q5

Find the locus of the poles of normal chords of the hyperbola Q6

Find the condition for the lines Ax2 + 2Hxy + By2 = 0 to be conjugate diameters of .

Q7

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

Q8

A ray emanating from the point (5, 0) is incident on the hyperbola 9x2 – 16y2 = 144 at the point P with abscissa 8. Find the equation of the reflected ray after first reflection and point P lies in first quadrant.

Q9

The equations of the transverse and conjugate axes of a hyperbola are respectively 3x + 4y – 7 = 0, 4x – 3y + 8 = 0 and their respective lengths are 4 and 6. Find the equation of the hyperbola.

Q10

Find the coordinates of the foci and the equation of the directrices of the rectangular hyperbola xy = c2.