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CBSE Class 9 Answered

Two equal circles intersect in P and Q. A straight line through P meets the circles in A and B. Prove that QA=QB. 
Asked by ishansaini243 | 11 Jan, 2015, 03:23: PM
answered-by-expert Expert Answer

Given: Two equal circles intersect in points P and Q. A line passing through P intersect first circle in A and second circle in B.

To Prove: QA = QB

 



begin mathsize 16px style Proof colon space PQ space is space the space common space chord space for space both space the space congruent space circles.
angle PAQ equals angle PBQ........... left parenthesis 1 right parenthesis
Then space in space increment ABQ comma
angle PAQ equals angle PBQ
QA equals QB space space space space space space space space space space space space space left parenthesis angles space opposite space to space congruent space sides space in space straight a space triangle right parenthesis

end style

Answered by Mili Hariyani | 28 Nov, 2017, 02:23: PM

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