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=`

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

Find the area of triangle whose vertices are P(3/2,1),Q(4,2), R(4,-1/2)

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle,then 2r equals

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals:

Let PQ and RS be tangents at the extremities of the diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, then 2r equals

Let PQ and RS be tangents at the extremities of one diameter PR of a circle of radius r. If PS and RQ intersect at a point X on the circumference of the circle, than (2r)/sqrt(PQ cdot RS) equals_____

Tangents drawn from P(6,8) to a circle x^(2)+y^(2)=r^(2) forms a triangle of maximum area with chord of contact,then r=

Let PQ and RS be tangent at the extremities of the diameter PR of a circle of radius r. If P S and RQ intersect at a point X on the circumference of the circle,then prove that 2r=sqrt(PQ xx RS).