CIRCLES | QUESTIONS | Type I: A point P is 13cm from the center of the circle. The length of the tangent drawn from P to the circle is 12 cm . Find the radius of the circle ?, Type II: A circle is touching the side BC of `DeltaABC` at P and touching AB and AC produced at Q and R respectively Prove that AQ=1/2(Perimeter of `DeltaABC`), Type III: Two concentric circles of radii 5cm and 3cm . Find the length of the chord of the larger circle which touches the smaller circle., Type IV: A circle touches the sides of the quadrilateral ABCD at P, Q, R, and S respectively. Show that the angles subtended at the center by a pair of opposite sides are supplementary., Type V: O is the center of the circle of radius 5cm. T is a point such that OT=13cm and OT intersects the circle at E . If AB is the tangent to the circle at E; find the length of AB.