Maths / Circles / Perpendicular From Centre of Circle Bisects the Chord and Vice Versa

QUESTION
 
In the given figure, O is the centre of the circle whose radius is 5cm. If OM = 4 cm, then the value of PN is equal to

 

OPTIONS
A. 

8 cm

B. 

3 cm

C. 

6 cm

D. 

2 cm

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

On joining OP we get OPM as a right angled triangle

OP^2= OM^2+ PM^2

PM^2= OP^2- OM^2=5^2-4^2=25-16=9=3^2

PM=3

As the perpendicular bisects the chord so

PN = 2PM = 2 X 3= 6cm

 

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