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

n the given figure PQ is a tangent at a point C to a circle with centre O. If AB is a diameter and ∠CAB = 30°. Find ∠PCA.

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

PA and PB are tangents drawn to a circle of centre O from an external point P. Chord ABmakes an angle of 30° with the radius at the point of contact.If length of the chord is 6 cm, find the length of the tangent PA and the length of the radiusOA

In the given figure, PA and PB are tangents to the given circle, such that PA = 5cm and ∠APB = 60°. The length of chord AB is:A B 5cm C D 7.5cm

In the given figure, there are two concentric circles with center O such that AP is tangent to the bigger circle and  AB is tangent to the smaller circle. If ∠APB=∠ABP=30∘,OA=3 cm and OP =5 cm, then, radius of the smaller circle is