# Consider a circle with centre at C, Let OP, OQ denote respectively the tangents to the circle

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?

1. If 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. ÐPOC + ÐQCO = 90^{o}

Select the correct answer using the code given below.

(a) 1 only

(b) 2 only

(c) Both 1 and 2

(d) Neither 1 nor 2