[" The tangent at "P" on the hyperbola "(x^(2))/(a^(2))-(y^(2))/(b^(2))=1" meets "],[" one of the asymptote in "Q" .Then the locus of the "],[" midpoint of "PQ" is "]

The tangent at P on the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2))=1 meets one of the asymptote in Q. Then the locus of the mid-point of PQ is

The tangent at P on the hyperbola (x^(2))/(a^(2)) -(y^(2))/(b^(2))=1 meets one of the asymptote in Q. Then the locus of the mid-point of PQ is

The tangent at P on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the asymptotes -(y)/(a)-(y^(2))/(b)=0 if the locus of the midpoint of PQ has the equation (x^(2))/(a^(2))-(y^(2))/(b^(2))=k, then k has the value equal to

The tangent at an arbitrary point R on the curve (x^(2))/(p^(2))-(y^(2))/(q^(2))=1 meets the line y=(q)/(p)x at the point S, then the locus of mid-point of RS is

A tangent (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 meets the axes at A and B.Then the locus of mid point of AB is

A tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets its asymptotes at P and Q. If C its centre,prove that CP.CQ=a^(2)+b^(2)

A tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 cuts the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at P and Q. Show that the locus of the midpoint of PQ is ((x^(2))/(a^(2))+(y^(2))/(b^(2)))^(2)=(x^(2))/(a^(2))-(y^(2))/(b^(2))