If `x=9` is the chord of contact of the hyperbola `x^2-y^2=9` then the equation of the corresponding pair of tangents is (A) `9x^2-8y^2+18x-9=0` (B) `9x^2-8y^2-18x+9=0` (C) `9x^2-8y^2-18x-9=0` (D) ` `9x^2-8y^2+18x+9=0`

If x= 9 is a chord of contact of the hyperbola x^(2) -y^(2) =9 , then the equation of the tangents at one of the points of contact is

if 5x+9=0 is the directrix of the hyperbola 16x^(2)-9y^(2)=144 , then its corresponding focus is

The point of contact of 9x+8y-11=0 to the hyperbola 3x^(2)-4y^(2)=11 is

Find the vertices of the hyperbola 9x^2-16 y^2-36 x+96 y-252=0

The eccentricity of the hyperbola 9x^(2)-16y^(2)+72x-32y-16=0 , is

Let H : x^(2) - y^(2) = 9, P : y^(2) = 4(x - 5), L : x = 9 be three curves. If L is the chord of contact of the hyperbola H, then the equation of the corresponding pair of tangent is

The equation of a tangent to the hyperbola 9x^2 - 12y^2 = 144 parallel to the line x- y=5 is:

The equations of the latus recta of the hyperbola 9x^(2) -16y^(2) -18x -32y -151 =0 are

The equation of the circle passing through the point of intersection of the circle x^2+y^2=4 and the line 2x+y=1 and having minimum possible radius is (a) 5x^2+5y^2+18 x+6y-5=0 (b) 5x^2+5y^2+9x+8y-15=0 (c) 5x^2+5y^2+4x+9y-5=0 (c) 5x^2+5y^2-4x-2y-18=0

A common tangent to 9x^2-16y^2 = 144 and x^2 + y^2 = 9 , is