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If two equal chords of a circle in inter...

If two equal chords of a circle in intersect within the circle, prove that: the segments of the chord are equal to the corresponding segments of the other chord. the line joining the point of intersection to the centre makes equal angles with the chords.

Text Solution

Verified by Experts

AB=CD,OL=OM
In`/_OLP and /_OMP`
`OL=OM`
`/_OLP=/_OMP`
`OP=OP`
`/_OLP cong /_OMP(RHS)`
`/_COP=/_POM`
adding equation 1 and 2
...
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If two equal chords of a circle intersect within the circle,prove that the segments of one chord are equal to corresponding segments of the other chord.

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