Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Q: 1    Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection.

Answers (1)

best_answer

Given: Circle C(P,r) and circle C(Q,r') intersect each other at A and B.

To prove : \anglePAQ = \anglePBQ 

Proof : In \triangleAPQ and \triangleBPQ,

                  PA = PB         (radii of same circle)

                 PQ = PQ        (Common)

                  QA = QB       (radii of same circle)

     So,           \triangleAPQ \cong \triangleBPQ       (By SSS)

                 \anglePAQ = \anglePBQ     (CPCT)

Posted by

seema garhwal

View full answer

Similar Questions

Latest Question