The diagram shows two circles with centres at Q and U.Lines PRT and PSV are tangents to both circles.Radii meet the tangents at points R, S, T and V.PQU is a straight line. Question promptWhat is the size of ?

In the given figure, from an external point P, two tangents PQ and PR are drawn to a circle ofradius 4 cm with centre O. If ∠QPR = 90°, then length of PQ i

In the figure QR is a common tangentogiven circles which meets the tangentTP at P. If QP = 3.8 cm, the length o1QR is

In the given figure, AB is one such tangent to a circle of radius 75 cm.Point O is the centre of thecircle and ∠ABO = 30⁰. PQ is parallel to OA.Based on the above information answer the following questions:I Find the length of AB. 1mII Find the length of OB. 1mIII (a)Find the length of AP.OR(b)Find the length of PQ

In the figure, two tangents RQ and RP are drawn from an external point R to the circle with centre O. If ∠PRQ = 120°, then prove that OR = PR + RQ.

In the given figure, RQ is a tangent to the circle with centre O. If SQ = 6 cm and QR = 4 cm, then OR is equal to