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### Question Asked by a Student from EXXAMM.com Team

** Q 1770545416. ** 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 xx SQ = OS xx 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. `anglePOC + angleQCO = 90^0`

Select the correct answer using the codes given below

**CDS 2016 **