If `P` is any point on the hyperbola whose axis are equal, prove that `S PdotS^(prime)P=C P^2dot`

If P is any point on the hyperbola whose axis are equal,prove that SP.S'P=CP^(2).

If Sa n dS ' are the foci, C is the center, and P is a point on a rectangular hyperbola, show that S PxxS^(prime)P=(C P)^2dot

If P is any point on the hyperbola x^(2)-y^(2)=a^(2) then S P . S^(prime) P=, where S, S^(prime) and C are respectively foci and the centre of the hyperbola

If S and S' are the foci and P be any point on the hyperbola x^(2) -y^(2) = a^(2) , prove that overline(SP) * overline(S'P) = CP^(2) , where C is the centre of the hyperbola .

If S, S' are the foci and' P any point on the rectangular hyperbola x^2 - y^2 =a^2 , prove that, bar(SP).bar(S'P) = CP^2 where C is the centre of the hyperbola

The P is any point on the ellipse 4 x^(2)+16 y^(2)=64 whose foci are S and S^(prime) , then S P+S^(prime) P=

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot .

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot

Let P be a point on the hyperbola x^2-y^2=a^2, where a is a parameter, such that P is nearest to the line y=2xdot Find the locus of Pdot