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- 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)
S
seema garhwal
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Given: Circle C(P,r) and circle C(Q,r') intersect each other at A and B.
To prove :
PAQ = 
PBQ
Proof : In
APQ and 
BPQ,
PA = PB (radii of same circle)
PQ = PQ (Common)
QA = QB (radii of same circle)
So,
APQ 
BPQ (By SSS)