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in Circles by (36.7k points)
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In the figure, ∠OMA =

A) 45° 

B) 90° 

C) 180° 

D) None

2 Answers

+1 vote
by (57.0k points)
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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 (38.9k points)

Correct option is  B) 90°

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