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 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 -

Tangents at P,Q,R on a circle of radius r form a triangle whose sides are 3r,4r,5r then PQ^(2)+RQ^(2)+QP^(2)=

P, Q, and R are the feet of the normals drawn to a parabola ( y−3 ) ^2 =8( x−2 ) . A circle cuts the above parabola at points P, Q, R, and S . Then this circle always passes through the point. (a) ( 2, 3 ) (b) ( 3, 2 ) (c) ( 0, 3 ) (d) ( 2, 0 )

P, Q, and R are the feet of the normals drawn to a parabola ( y−3 ) ^2 =8( x−2 ) . A circle cuts the above parabola at points P, Q, R, and S . Then this circle always passes through the point. (a) ( 2, 3 ) (b) ( 3, 2 ) (c) ( 0, 3 ) (d) ( 2, 0 )

A circle of radius r cm has a diameter of length (a) r cm (b) 2r cm (c) 4r cm (d) r/2c m

If the sum of the areas of two circles with radii r_1 and r_2 is equal to the area of a circle of radius r , then r_1^2 +r_2^2 (a) > r^2 (b) =r^2 (c)

If the sum of the areas of two circles with radii r_1 and r_2 is equal to the area of a circle of radius r , then r_1^2 +r_2^2 (a) > r^2 (b) =r^2 (c)

Tangent is drawn at any point (p ,q) on the parabola y^2=4a x .Tangents are drawn from any point on this tangant to the circle x^2+y^2=a^2 , such that the chords of contact pass through a fixed point (r , s) . Then p ,q ,r and s can hold the relation (A) r^2q=4p^2s (B) r q^2=4p s^2 (C) r q^2=-4p s^2 (D) r^2q=-4p^2s

Tangent is drawn at any point (p ,q) on the parabola y^2=4a x .Tangents are drawn from any point on this tangant to the circle x^2+y^2=a^2 , such that the chords of contact pass through a fixed point (r , s) . Then p ,q ,r and s can hold the relation (A) r^2q=4p^2s (B) r q^2=4p s^2 (C) r q^2=-4p s^2 (D) r^2q=-4p^2s