The given figure shows a circle with centre O and radius 4 cm circumscribed by ΔABC. BC touches the circle at D such that BD = 6 cm, DC = 10 cm. Find the length of AE.

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Theorem on Equal Length of Tangents from External Point, Length of Tangent from External Point | PadhAiPro

Question

TextTheorem on Equal Length of Tangents from External PointLength of Tangent from External PointCBSE PYQ

Prove that the parallelogram circumscribing a circle is a rhombus.

In the given figure, if AB is a tangent to the circle with centre O such that OB = 6 cm and ∠AOB = 60°, then the length of OA is :

Prove that a rectangle circumscribing a circle is a square.

In the given figure, △ ABC circumscribes a circle. If AR = 3 cm, BP = 4 cm and QC = 5 cm, find the perimeter of △ ABC.

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 :