UT YTToy) 150. A rectangular hyperbola whose centre is C, is cut by any circle of radius r in four points P, Q. Rand S. Then, cp2 + cp2 +CR2 + cs2 is: (A) 2 (B) 22 (C) 32 (D) 41²

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then, CP^2 +CQ^2 +CR^2 + CS^2 = (A) r^2 (B) 2r^2 (C) 3r^2 (D) 4r^2

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P,Q,R and S . Then CP^2+CQ^2+CR^2+CS^2 equals .

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P,Q ,R and S. Then,CP^(2)+CQ^(2)+CR^(2)+CS^(2)=(A)r^(2)(B)2r^(2) (C) 3r^(2)(D)4r^(2)

A circle of radius r intersects a rectangular hyperbola whose centre is at C, at four points P,Q,R and S. If CP^(2)+ CQ^(2)+ CR^(2)+ CS^(2)=ar^(2) , then the value of'a' be -

Circle are drawn on the chords of the rectangular hyperbola x y=4 parallel to the line y=x as diameters. All such circles pass through two fixed points whose coordinates are (2,2) (b) (2,-2) (c) (-2,2) (d) (-2,-2)

Circle are drawn on the chords of the rectangular hyperbola x y=4 parallel to the line y=x as diameters. All such circles pass through two fixed points whose coordinates are (2,2) (b) (2,-2) (c) (-2,2) (d) (-2,-2)

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

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