Prove that a rectangle circumscribing a circle is a square.

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Theorem on Equal Length of Tangents from External Point | PadhAiPro

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TextTheorem on Equal Length of Tangents from External PointCBSE PYQ

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In the given figure, TP and TQ are two tangents. If ∠ PTQ = 50°, then find the measure of ∠ OPQ.

PQ and PR are tangents to the circle of radius 3 cm and centre O. If length of each tangent is 4 cm, then perimeter of △ OQP is :

Length of Tangent from External Point

PA and PB are tangents drawn to a circle with centre O. If ∠AOB = 120° and OA = 10 cm, then

Prove that the lengths of tangents drawn from an external point to a circle are equal.

In Figure 1, PQ and PR are tangents to the circle such that ∠QOP = 70°. Find the measure of ∠QPR.

In Figure 2, a quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC.