LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
in Circles by (40.5k points)
closed by

In the figure, ∠OMA =

A) 45° 

B) 90° 

C) 180° 

D) None

2 Answers

+1 vote
by (56.9k points)
selected by
Best answer

Correct option is (B) 90°

\(\because\) AM = BM = 4 cm (given)

It implies M is mod-point of chord AB.

But M is intersection point of OM and AB.

It implies OM bisect chord AB.

Since, O is centre of the circle.

Therefore, OM is perpendicular to chord AB.

\((\because\) Any line passing through centre of the circle & bisect the chord is perpendicular to the chord)

\(\Rightarrow\) OM \(\bot\) AB

\(\therefore\) \(\angle OMB=\angle OMA\) \(=90^\circ\)

+1 vote
by (42.4k points)

Correct option is  B) 90°

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.