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Prove that a diameter of a circle whi...

Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Suppose you are given a circle. Give a construction to find its cen...

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  2. Prove that the line joining the mid-point of a chord to the centre ...

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  3. Prove that a diameter of a circle which bisects a chord of the circ...

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  4. Prove that two different circles cannot intersect each other at mor...

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  5. A line segment A B is of length 5 cm. Draw a circle of radius 4 ...

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  6. An equilateral triangle of side 9 cm is inscribed in a circle. Find...

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  7. Given an arc of a circle, complete the circle.

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

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

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

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

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

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  13. In Figure, O is the centre of a circle and P O BISECTS /A P D. Prove...

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

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

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  16. If two equal chords of a circle intersect within the circle, prove t...

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

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

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

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