Question

Solution

Correct option is The equation of the required hyperbola is      SIMILAR QUESTIONS

Q1

For what value of λ does the line y = 2x + λ touches the hyperbola Q2

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

Q3

Find the equation and the length of the common tangents to hyperbola Q4

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

Q5

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

Q6

Find the locus of the poles of normal chords of the hyperbola Q7

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

Q8

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

Q9

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.

Q10

ABC are three points on the rectangular hyperbola xy = c2, find

1. The area of the triangle ABC

2. The area of the triangle formed by the tangents at AB and C