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To prove:straight line MN passes through Centre O.
Construction: through the Centre O draw EF parallel AB parallel CD
Join OM and ON
Proof :OM PERPENDICULAR AB
M Is mid point of AB and line joining Centre to midpoint of chord.
AngleOMA=90
AmgleMOF=90(OF parallel AB)
ON perpendicular CD
ON is the line joining the center of the circle to the midpoint of chord.
AngleONC=90
AngleNOF=90
Angle NOF +angleMOF=90+90=180
MON is straight line
MN passes through Centre O.
Construction: through the Centre O draw EF parallel AB parallel CD
Join OM and ON
Proof :OM PERPENDICULAR AB
M Is mid point of AB and line joining Centre to midpoint of chord.
AngleOMA=90
AmgleMOF=90(OF parallel AB)
ON perpendicular CD
ON is the line joining the center of the circle to the midpoint of chord.
AngleONC=90
AngleNOF=90
Angle NOF +angleMOF=90+90=180
MON is straight line
MN passes through Centre O.
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Rabie:
Brother you are almost correct but you wrote perpendicular bisectors of the chords pass through the centre but that thing has to be proved according to the question
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Aaditya2003
Secondary SchoolMath 6+3 pts
How to solve this question:-
Please answer in full steps.
Report by Rabie 17.02.2017
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Aaditya2003
Aaditya2003 · Ambitious
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thirumal
Thirumal Virtuoso
To prove:straight line MN passes through Centre O.
Construction: through the Centre O draw EF parallel AB parallel CD
Join OM and ON
Proof :OM PERPENDICULAR AB
M Is mid point of AB and line joining Centre to midpoint of chord.
AngleOMA=90
AmgleMOF=90(OF parallel AB)
ON perpendicular CD
ON is the line joining the center of the circle to the midpoint of chord.
AngleONC=90
AngleNOF=90
Angle NOF +angleMOF=90+90=180
MON is straight line
MN passes through Centre O.
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