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

Find the foci of the hyperbola 9x^2-4y^2=36 .

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=

Distance between the foci of the hyperbola x^(2)-y^(2)=7, is

The foci of the hyperbola 9 y^(2)-4 x^(2)=36 are the points

If P is any point on the ellipse 16 x^(2)+25 y^(2)=400 then P S_(1)+P S_(2)= , where S_(1) and S_(2) are the foci of the ellipse.

Let P(6,3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 . If the normal at the point P intersect the x -axis at (9,0) then the eccentricity of the hyperbola is

P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S and S'. Sp + S'P =

If the normal at P to the rectangular hyperbola x^2-y^2=4 touches the exes of x and y in G and g respectively and O is the centre of the hyperbola, then 2PO equals :

If P is a point on the rectangular hyperbola x^2-y^2=a^2,C being the centre and S, S' are two foci , then S.P S'P equals

If P is any point on the hyperbola ((x-1)^(2))/(9)-((y+1)^(2))/(16)=1 and S_(1) and S_(2) are its foci, then |S_(1) P-S_(2) P|=