Prove that a rectangle circumscribing a circle is a square.
In the given figure, TP and TQ are two tangents. If ∠ PTQ = 50°, then find the measure of ∠ OPQ.
In two concentric circles centred at O, a chord AB of the larger circle touches the smaller circle at C. If OA = 3.5 cm, OC = 2.1 cm, then AB is equal to
In the given figure, PA is tangent to a circle with centre O. If ∠APO = 30° and OA = 2.5 cm, then OP is equal to
PA and PB are tangents drawn to a circle with centre O. If ∠AOB = 120° and OA = 10 cm, then
From an external point Q, the length of tangent to a circle is 12 cm and the distance of Q from the centre of circle is 13 cm. The radius of circle (in cm) is
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