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Suppose you are given a circle. Give ...

Suppose you are given a circle. Give a construction to find its centre.

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STEPS OF CONSTRUCTION:
* Firstly, we draw a circle.
** Two chords AB and CD are to be drawn in the circle.
*** Draw the perpendicular bisectors of AB and CD.
**** Join the two perpendicular bisectors at a point.
This intersection point of the two perpendicular bisectors is the centre of the circle.
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RD SHARMA-CIRCLE -All Questions
  1. Given an arc of a circle, complete the circle.

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  2. Draw different pairs of circles. How many points does each pair hav...

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  3. Suppose you are given a circle. Give a construction to find its cen...

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  4. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a ci...

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

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  6. If two chords of a circle are equally inclined to the diameter thro...

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  7. In Figure, O is the center of a circle and P O bisects /APD Prove that...

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  8. Two equal chords AB and CD of a circle with center O, when produced me...

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

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

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  11. prove that the line joining the mid-point of two equal chords of a ...

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  12. L\ a n d\ M are mid-point of two equal chords A B\ a n d\ C D of a c...

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  13. PQ and RQ are chords of a circle equidistant from the centre. Prove t...

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  14. In the figure, two equal chords AB and CD of a circle with centre O, i...

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  15. A ,\ B ,\ C ,\ D are four consecutive points on a circle such that ...

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  16. Show that if two chords of a circle bisect one another they must be ...

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  17. In Figure, equal chords AB and CD of a circle with center O , cut at r...

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  18. Two equal circles intersect in P and Q . A straight line through P mee...

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  19. Prove that all the chords of a circle through a given point within it,...

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  20. Prove that the diameter is the greatest chord in a circle.

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