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Equal chords of a circle are equidistant...

Equal chords of a circle are equidistant from the centre.

Text Solution

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Given : `AB=CD`
`OL_|_AB` and L is mid point of AB
`AL=LB=1/2AB-(1)`
`OM_|_CD` and M is midpoint of CD
`CM=MD=1/2CD-(2)`
`AB=CD`
`1/2AB=1/2CD`
`AL=CM`
...
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RD SHARMA-CIRCLE -All Questions
  1. Equal chords of congruent circles are equidistant from the correspo...

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  2. The length of two parallel chords of a circle are 6c m and 8c mdot If ...

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

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

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

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

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

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

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

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

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  11. Two circle intersect in Aa n dBa n dA Ca n dA D are respectively the d...

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  12. Any angle subtended by a minor arc in the alternate segment is acute ...

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

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  14. The angle in a semi-circle is a right angle.

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  15. Angle in the same segment of a circle are equal.

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  16. Prove that the circle drawn on any one of the equal sides of an isos...

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  17. A chord of a circle is equal to the radius of the circle find the angl...

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  18. In Figure., A B C is a triangle in which /B A C=30^0dot Show that B C ...

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  19. Theorem:-7 If the line segment joining two points subtends equal angle...

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  20. In Figure, O A and O B ar respectively perpendiculars to chords C D an...

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