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 x SQ = OS x RP. Which of the following statements is/are correct?
1If X is the circle with centre at O and radius OR, and Y is the circle with centre at O and radius OS, then X = Y.
2∠POC+ ∠QCO = 90°
Select the correct answer using the code given below.

Question

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 x SQ = OS x RP. Which of the following statements is/are correct?

1If X is the circle with centre at O and radius OR, and Y is the circle with centre at O and radius OS, then X = Y.
2∠POC+ ∠QCO = 90°

Select the correct answer using the code given below.

Accepted Answer

Option C: Both 1 and 2