theorem 10.4 from class 9
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Theorem.10.1=The line drawn through the centre of a circle to bisect a chord is perpendicular to the chord.
solution: given:A chord AB of a circle and Am=BM
To prove:OM is perpendicular on AB
Proof:In triangle OMA &OMB, OA=OB
OM=OM
AM=BM
Hence, Triangle OMA is congruent to Triangle OMB
SO,angle OMA=OMB(c.p.c.t)
But,OMA+OMB=180
hence,Angle OMA =OMB=90
hence,OM is perpendicular to AB
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