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Two circles with centers C1 and C2 intersect at M and N. A tangent is drawn nearer to M (i.e. towards the side of M) touching circles C1 and C2 at A and B respectively. A line parallel to AB is drawn through M intersecting circles C1 and C2 at C and D respectively. CA an BD are joined and produced to intersect at E. AN and BN are joined. AN and BN intersect CM and DM at P and Q respectively. Prove that EP=EQ. Please help me with this question

Two circles with centers C1 and C2 intersect at M and N. A tangent is drawn nearer to M (i.e. towards the side of M) touching circles C1 and C2 at A and B respectively. A line parallel to AB is drawn through M intersecting circles C1 and C2 at C and D  respectively. CA an BD are joined and produced to intersect at E. AN and BN are joined. AN and BN intersect CM and DM at P and Q respectively. Prove that EP=EQ.
Please help me with this question

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
Dear student

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