Solve this: â ‹Q15 Two circles with centres P and Q are drawn such that each circle passes - Maths - Understanding Quadrilaterals

Question

Solve this:

â€‹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

Rishabh Mittal · Accepted Answer

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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