If there are two points `A and B` on rectangular hyperbola `xy=c^2` such that abscissa of `A =` ordinate of `B,` then locusof point of intersection of tangents at `A and B` is (a) `y^2-x^2=2c^2` (b) `y^2-x^2=c^2/2` (c) `y=x` (d) non of these

The focus of rectangular hyperbola (x-a)*(y-b)=c^(2) is

The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

The focus of rectangular hyperbola (x-a)*(y-b)=c^2 is

From an arbitrary point P on the circle x^2+y^2=9 , tangents are drawn to the circle x^2+y^2=1 , which meet x^2+y^2=9 at A and B . The locus of the point of intersection of tangents at A and B to the circle x^2+y^2=9 is (a) x^2+y^2=((27)/7)^2 (b) x^2-y^2((27)/7)^2 (c) y^2-x^2=((27)/7)^2 (d) none of these

The tangent at the point P on the rectangular hyperbola xy=k^(2) with C intersects the coordinate axes at Q and R. Locus of the coordinate axes at triangle CQR is x^(2)+y^(2)=2k^(2)(b)x^(2)+y^(2)=k^(2)xy=k^(2)(d) None of these

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.

If the tangents to the parabola y^(2)=4ax intersect the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at A and B, then find the locus of the point of intersection of the tangents at A and B.

Two tangents are drawn to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 such that product of their slope is c^(2) the locus of the point of intersection is