O is the centre of circle of radius 15cm M is a point at a distance of 5cm from O AMB is any chord of the circle passing through M then the value of. AM*MB
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Radius of a circle is 5 cm.
Therefore OB = 5 cm.
Perpendicular drawn to the chord from the centre bisects the chord.
Therefore AM = MB
Triangle OMB is right angled triangle at M
∠OMB=90∘
By Pythagoras theorem;
OB2=OM2+MB2
MB=OB2−OM2
MB=52−42
MB=3cm
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