In Figure 2, PQ and PR are tangents to the circle centred at O. If ∠ OPR = 45°, then prove that ORPQ is a square.

Question

TextTheorem on Tangent Perpendicular to Radius at Point of ContactTheorem on Equal Length of Tangents from External PointCBSE PYQ

In the adjoining figure, PA and PB are tangents to a circle with centre O such that ∠P = 90°. If AB = 3√2 cm, then the diameter of the circle is

In the adjoining figure, TS is a tangent to a circle with centre O. The value of 2x° is