two circles intersect each other at two points A and B At A, tangents AP and AQ to the - Maths - Circles

Question

two circles intersect each other at two points A and B At A,
tangents AP and AQ to the two circles are drawn which intersect
other circles at points P and Q respectively Prove that AB is the
bisector of angle PBQ

Ashutosh Verma · Accepted Answer

Dear Student,

Please find below the solution to the asked query:

We form our diagram from given information , As :

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_59c2265c13a6d%20jpg"
style="width: 674px; height: 472px;">
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two circles intersect each other at two points A and B. At A, tangents AP and AQ to the two circles are drawn which intersect other circles at points P and Q respectively. Prove that AB is the bisector of angle PBQ.