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CBSE Class 10 Maths (Standard) 2022 · Paper 30/3/1 · Question 6

Circles 2 marks Medium
In Figure 2, PQ and PR are tangents to the circle centred at O. If , then prove that ORPQ is a square.
Q R O P 45°
Tangents PQ and PR from external point P with angle OPR = 45 degrees

Answer

All four angles of ORPQ are 90° and all four sides are equal (OQ = QP = PR = RO), so ORPQ is a square. Proved.

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