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In the adjoining figure, OPQR is a squar...

In the adjoining figure, OPQR is a square. A circle drawn with centre O cuts the square in X and Y. Prove that QX `=` QY

Text Solution

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`Delta OXP ~= DeltaOYR . [ :' OP =OR, OX = OY = r` and `/_ OPX = /_ ORY = 90^(@)]`
`implies PX= RY implies PQ -PX = QR - RY [:' PQ =QR ]`
`implies QX = QY`
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