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Two tangents PQ and PR are drawn from an...

Two tangents `PQ` and `PR` are drawn from an external point to a circle with centre `O`. Prove that `QORP` is cyclic quadrilateral.

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To prove that the quadrilateral \( QORP \) is cyclic, we need to show that the sum of opposite angles is equal to \( 180^\circ \). ### Step-by-Step Solution: 1. **Understanding the Setup**: - Let \( O \) be the center of the circle. - \( PQ \) and \( PR \) are tangents drawn from the external point \( P \) to the circle. - \( Q \) and \( R \) are the points of tangency on the circle. ...
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