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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

`In/_\OLP and /_\OMP`
`OL=OM`
`/_OLP=/_OMP`
`OP=OP`
`/_\OLP cong /_\DMP(RHS)`
`AB=CD`
`1/2AB=1/2CD`
`AL=LH-(2)`
...
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If two equal chords of a circle intersect within the circle, prove that: the segments of the chord are equal to the corresponding segments of the other chord.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Of any two chords of a circle show that one which is larger is nearer ...

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  2. If the angles subtended by two chords of congruent circles at the co...

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  3. If two equal chords of a circle in intersect within the circle, prove ...

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  4. Two equal chords A B and C D of a circle with centre O , when produced...

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  5. Two equal chords A B and C D of a circle with centre O , when produced...

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  6. Prove that , Of any two chords of a circle, show that the one which is...

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  7. Chords of a circle which are equidistant from the centre are equal.

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  8. Equal chords of congruent circles are equidistant from the correspo...

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  9. The lengths of two parallel chords of a circle are 6 cm and 8 cm. I...

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  10. Equal chords of a circle are equidistant from the centre.

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  11. Two circle with centres A and B intersect at C and Ddot Prove that /A ...

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  12. Prove that the line joining the mid-points of two parallel chords of a...

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  13. Prove that the right bisector of a chord of a circle, bisects the c...

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  14. Prove that the perpendicular bisector of a chord of a circle always...

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  15. Prove that the line joining the mid-points of two parallel chords of a...

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  16. Two circles of radil 5c m and 3c m intersect at two points and the dis...

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  17. Two circles are drawn with sides A B ,A C of a triangle A B C as diame...

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  18. In the figure, two circles intersect at A and B . A C and A D are resp...

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  19. Prove that any angle subtended by a minor arc in the alternate segment...

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  20. The arc of a circle subtending a right angle at any point of the circl...

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