Sarthaks Test
0 votes
in Olympiad by (70.1k 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
by (64.4k points)
selected by
Best answer

If O is the entre of ∑, then we have

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

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.