Answer :

Construction: Join OX and OY


In Δ OPX and ΔORY,


OX = OY (radii of the same circle)


OP = OR (sides of the square)


ΔOPX Δ ORY (RHS rule)


PX = RY (CPCT)—1


OPQR is a square


PQ = RQ


PX + QX = RY + QY


QX = QY (from –1)


Hence proved


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