Solve this:

​Q15. Two circles with centres P and Q are drawn such that each circle passes through the centre of the other. The circles intersect at points R and S as shown below.
Which of the following is DEFINITELY true about  PQR ?
  A. It is a scalene triangle.
  B. It is an isosceles triangle.
  C. It is an equilateral triangle.
  D. It is a right angled triangle.

Dear Student ,
Please find below the solution to the asked query :

PQ= Radius of circle with centre PQP= Radius of circle with centre QPQ=QP       Same line segment So, radius of both circles are equalPR=Radius of circle with centre PQR=Radius of circle with centre QAs radius of both circle is equal           Proved above PQ=QR=PR PQR is an equilateral triangle.Correct option is C.
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