37. Two Congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P,Q lie on the two circles. Prove that BP=BQ.

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Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

Q. Question 9
Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

Q. Two circles intersects at two points

B

and

C

. Through

B

, two line segments

A B D

and

P B Q

are drawn to intersects the circles at

A, D

and

P, Q

respectively. Prove that

∠ A C P = ∠ Q C D

Q. In figure two circles intersect at two points P and Q. From a point A on a circle, two line segments APC and AQD are drawn intersecting the other circle at the points C and D. Prove that CD is parallel to the tangent at A.

Q. Two circles intersect at two points

B

and

C

. Through

B

, two line segments

A B D

and

P B Q

are drawn to intersect the circles at

A, D

and

P, Q

respectively (see Fig.) Prove that

∠ A C P = ∠ Q C D

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