Question
are two points on the hyperbola such that (a constant), then PQ touches the hyperbola

None of these



easy
Solution
The equation of chord PQ is
Clearly, it touches the hyperbola
.
SIMILAR QUESTIONS
The slopes of the common tangents of the hyperbolas and
A hyperbola, having the transverse axis of the length , is confocal with the ellipse 3x^{2} + 4y^{2} = 12. Then, its equation is
The locus of point of intersection of tangents at the ends of normal chord of the hyperbola x^{2} – y^{2} = a^{2} is
If a hyperbola passing through the origin has 3x – 4y – 1 = 0 and 4x – 3y – 6 = 0 as its asymptotes, then the equations of its transverse and conjugate axes are
If H(x, y) = 0 represents the equation of a hyperbola and A(x, y) = 0, C(x,y) = 0 the joint equation of its asymptotes and the conjugate hyperbola respectively, then for any point (α, β) in the plane, are in
The equation of a tangent to the hyperbola which make an angle π/4 with the transverse axis, is
For the hyperbola which of the following remains constant with change in ‘α’
The equation of the line passing through the centre of a rectangular hyperabola is x – y – 1 = 0. If one of its asymptotes is 3x – 4y – 6 = 0, the equation of the other asymptotes is
If radii of director circles of are 2r and rrespectively and e_{e} and e_{h} be the eccentricities of the ellipse and hyperbola respectively, then
The product of the lengths of perpendicular drawn from any point on the hyperbola x^{2} – 2y^{2} – 2 = 0 to its asymptotes is