For the hyperbola `xy = 8` any tangent of it at P meets co-ordinates at Q and R then area of triangle CQR where 'C' is centre of the hyperbola is

If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a point P meets the coordinates axes in Q and R and O is the centre of the hyperbola , then

If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a point P meets the coordinates axes in Q and R and O is the centre of the hyperbola , then

Tangents at P to rectangular hyperbola xy=2 meets coordinate axes at A and B, then area of triangle OAB (where O is origin) is _____.

Find the area of the triangle formed by a tangent to the hyperbola xy=1 and its asymptotes.

Find the area of the triangle formed by a tangent to the hyperbola xy=1 and its asymptotes.

STATEMENT-1 : Tangent at any point P(x_(1), y_(1)) on the hyperbola xy = c^(2) meets the co-ordinate axes at points Q and R, the circumcentre of triangleOQR has co-ordinate (x_(1)y_(1)) . and STATEMENT-2 : Equation of tangent at point (x_(1)y_(1)) to the curve xy = c^(2) is (x)/(x_(1)) + (y)/(y_(1)) =2 .

STATEMENT-1 : Tangent at any point P(x_(1), y_(1)) on the hyperbola xy = c^(2) meets the co-ordinate axes at points Q and R, the circumcentre of triangleOQR has co-ordinate (x_(1)y_(1)) . and STATEMENT-2 : Equation of tangent at point (x_(1)y_(1)) to the curve xy = c^(2) is (x)/(x_(1)) + (y)/(y_(1)) =2 .