From any point on the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` , tangents are drawn to the hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=2.` The area cut-off by the chord of contact on the asymptotes is equal to `a/2` (b) `a b` (c) `2a b` (d) `4a b`

Statement 1 : If from any point P(x_1, y_1) on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 , tangents are drawn to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1, then the corresponding chord of contact lies on an other branch of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=-1 Statement 2 : From any point outside the hyperbola, two tangents can be drawn to the hyperbola.

From a point on the line x-y+2=0 tangents are drawn to the hyperbola (x^(2))/(6)-(y^(2))/(2)=1 such that the chord of contact passes through a fixed point (lambda, mu) . Then, mu-lambda is equal to

If hyperbola (x^2)/(b^2)-(y^2)/(a^2)=1 passes through the focus of ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , then find the eccentricity of hyperbola.

Tangents are drawn to hyperbola (x^2)/(16)-(y^2)/(b^2)=1 . (b being parameter) from A(0, 4). The locus of the point of contact of these tangent is a conic C, then:

The angle between the asymptotes of the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 is

Consider the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 . Area of the triangle formed by the asymptotes and the tangent drawn to it at (a, 0) is

If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then a^2-b^2 is equal to (A) 1/(a^2e^2) (B) a^2e^2 (C) b^2e^2 (D) none of these

If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then a^2-b^2 is equal to (a) 1/(a^2e^2) (b) a^2e^2 (c) b^2e^2 (d) none of these

Find the equations of the tangent and normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 . at the point (x_0,y_0)

From the point (2, 2) tangent are drawn to the hyperbola (x^2)/(16)-(y^2)/9=1. Then the point of contact lies in the (a) first quadrant (b) second quadrant (c) third quadrant (d) fourth quadrant