Join Sarthaks eConnect Today - Largest Online Education Community!
0 votes
asked in Olympiad by (69.8k points)

Two circle Γ and  lies in the plane intersect at two distinct points A and B and the centre of  lies on Γ. Let points C and D be on Γ and  respectively such that C,B and D are collinear. Let points E on  be such that DE is parallel to AC. Show that AE=AB.

1 Answer

+1 vote
answered by (64.1k points)
selected by
Best answer

If O is the entre of ∑, then we have

This shows that  ∠EAB = ∠EBA and hence AE = AB.

Happy Diwali Wishes

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon