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Show that if two chords of a circle bise...

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

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If a diameter of a circle bisects each of the two chords of a circle, prove that the chords are parallel.

If a diameter of a circle bisects each of the two chords of a circle, prove that the chords are parallel.

A Ca n dB D are chords of a circle that bisect each other. Prove that: A Ca n dB D are diameters ABCD is a rectangle.

Prove that , Of any two chords of a circle, show that the one which is nearer to the centre is larger.

AC and BD are chords of a circle which bisect each other. Prove that (i) AC and BD arediameters, (ii) ABCD is a rectangle

PQ and RQ are chords of a circle equidistant from the centre. Prove that the diameter passing through Q bisects ∠PQR and ∠PSR

AB and CD are two parallel chords of a circle on opposite sides of a diameter such that AB = 24 cm and CD = 10 cm. If the radius of the circle is 13 cm, find the distance between the two chords.

Prove that the right bisector of a chord of a circle, bisects the corresponding arc or the circle.

Prove that the right bisector of a chord of a circle, bisects the corresponding arc or the circle.

Prove that all the chords of a circle through a given point within it, the least is one which is bisected at that point.

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In the figure, two equal chords AB and CD of a circle with centre O, i...

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

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

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  4. In Figure, equal chords A B and C D of a circle with centre O , cut at...

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

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

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

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  8. Bisector A D of /B A C of /\ A B C passes through the centre O of the ...

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  9. In Figure, A B\ a n d\ A C are two equal chords of a circle whose ce...

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

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  11. Three girls Reshma, Salma and Mandip are playing a game by standing...

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  12. A circular park of radius 20m is situated in a colony. Three boys A...

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  13. In Figure, calculate the measure of /A O Cdot

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  14. A ,\ B\ a n d\ C are three points on a circle such that the angles s...

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  15. In Figure, A B C is a triangle in which /B A C=30^@. Show that B C is ...

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

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  17. In Figure, /A B C=69^0,\ /A C B=31^0 , find /B D C

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  18. In Figure, /P Q R=100^0, where P ,\ Q\ a n d\ R are points on a circle...

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  19. In Fig. 10.39, A, B, C and D are four points on a circle. AC and BD...

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  20. BC is a chord with centre O. A is a point on an arc BC . Pr...

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