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If the angles subtended by two chords of...

If the angles subtended by two chords of a circle at the centre are equal, then Prove chords are equal.

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To prove that if the angles subtended by two chords of a circle at the center are equal, then the chords are equal, we can follow these steps: ### Step-by-Step Solution: 1. **Draw the Circle and Chords**: - Let \( O \) be the center of the circle. - Let \( AB \) and \( CD \) be two chords of the circle such that the angles subtended by these chords at the center \( O \) are equal, i.e., \( \angle AOB = \angle COD \). ...
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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Prove Chords of congruent circles which are equidistant from the cor...

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  2. Prove Equal chords of congruent circles subtend equal angles at the ce...

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  3. If the angles subtended by two chords of a circle at the centre are ...

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  4. Of any two chords of a circle show that one which is larger is nearer ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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