Class 12

Math

Co-ordinate Geometry

Hyperbola

Consider a hyperbola $xy=4$ and a line $y=2x=4$. O is the centre of hyperbola. Tangent at any point P of hyperbola intersect the coordinate axes at A and B.

Let the given line intersects the x-axis at R. if a line through R. intersect the hyperbolas at S and T, then minimum value of $RS×RT$ is