Maths / Circles / Equal Chords are Equidistant from the Center of Circle

QUESTION
 

In the figure given , if CD = AB = 6 units and ON = 3 units, and OM is perpendicular to CD, then OM + MD is equal to

 

 

OPTIONS
A. 

3 units

B. 

15 units

C. 

9 units

D. 

6 units

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

As CD = AB = 6 units and ON = 3 units, and OM is perpendicular to CD,

then OM = 3 units as equal chords are equidistant from the centre

As OM is perpendicular so it bisects the chord

 MD = 3 units

OM + MD = 3 + 3 = 6 units

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