If `A, B, C` are three points on the hyperbola `xy = c^2 ` such that `/_ABC=90^@` and the tangent at C to `xy=c^2` is parallel to `x +3y + 5 = 0`, then the slope of the chord joining AB is

If A,B, and C are three points on the hyperbola xy=c^(2) such that AB subtends a right angle at C, then prove that AB is parallel to the normal to the hyperbola at point C.

A,B,C are three points on the rectangular hyperbola xy=c^(2), The area of the triangle formed by the tangents at A,B and C.

A, B, C are three points on the rectangular hyperbola xy = c^2 , The area of the triangle formed by the points A, B and C is

A, B, C are three points on the rectangular hyperbola xy = c^2 , The area of the triangle formed by the points A, B and C is

P and Q are two points on the rectangular hyperbola xy = C^(2) such that the abscissa of P and Q are the roots of the equations x^(2) - 6x - 16 = 0 . Equation of the chord joining P and Q is

If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2) , then

If lx+my+n=0 is a tangent to the rectangular hyperbola xy=c^(2) , then

A right angle triangle ABC, right angle at A is inscribed in hyperbola xy=c^(2) (c>0) such that slope of BC is 2. If distance of point A from centre of xy=c^(2) is sqrt(10) ,then which of the following is/are correct for xy=c^(2) (A) the value of c is 2 (B) the value of c is 4 (C) the equation of normal at point A can be y = 2x − 3sqrt(2) (D) the equation of normal at point A can be y = 3x + 8sqrt(2)