In the adjoining figure, ray PQ touches the circle at point Q. Line PRS is a secant, If P=12, PR=8 then PS and RS

In the adjoining figure line PA is tangent at point A . Line PBC is a secant . If AP = 15 and BP = 10 , find BC.

In the adjoining figure, line PR touches the circle at point Q . Using the information given in the diagram, answer the following questions. (i) What is the sum of angleTAQ and angleTSQ ? (ii) Write names of angles congruent to angleAQP . (iii) Write names of angles congruent to angleQTS . (iv) If angleTAS= 65^@ , then find angleTQS and arc TS . (v) It angleAQR=42^(@) and angleSQR=58^(@) , then find angleATS .

In the adjoining figure, point Q is the point of contact of tangent and circle . If PQ = 12, PR = 8, then find Ps and RS .

In the adjoining figure circles with centres A and C touch internally at point T . Line AB is tangent to the smaller circle at point P . Point B lies on the bigger circle. Radii are 16 cm and 6 cm . Find AP.

In the adjoining figure, seg EF is the diameter of the circle with centre H . Line DF is tangent at point F . If r is the radius of the circle, then prove that DExxGE=4r^(2) To Prove : DExxGE=4r^(2)

In the adjoining figure line PA is a tangent to the circle at point A . Secant PQZ intersects chord AY in point X, such that AP = PX = XY. If PQ = 1 and QZ = 8 . Find AX.

In the adjoining figure, point P is the centre of the circle and line AB is the tangent to the circle at T . The radius of the circle is 6 cm . Find PB if angleTPB=60^(@)

In the adjoining figure, seg AB is a diameter of a circle with centre C . Line PQ is a tangent, it touhces the circle at T. segs AP and BQ are perpendiculars to line PQ. Prove seg CP ~= seg CQ .

In the adjoining figure point O is the centre of the circle . Line PB is a tangent and line PAC is a secnt. Find Paxx PC if OP = 25 and radius is 7 .

In the adoining figure, A is the centre of the circle. Poin D is in the exterior of the circle. Line DP and Line DQ are tangents at points at P and Q respectively. Prove that DP=DQ.