Consider a circle with centre at C. Let OP, OQ denote respectively the tangents to the circle drawn from a point O outside the circle. Let R be a point on OP and S be a point on OQ such that OR × SQ = OS × RP. Which of the following statements is/are correct?
1. If X is the circle with centre at C and radius OR, and Y is the circle with centre at O and radius OS, then X = Y.
2. ∠POC + ∠QCO = 90°
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