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In Figure, equal chords A B and C D of a...

In Figure, equal chords `A B` and `C D` of a circle with centre `O ,` cut at right angles at `E`. If `M` and `N` are mid-point of `A B` and `C D` respectively, prove that OMEN is a square.

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In Figure, equal chords A B and C D of a circle with centre O , cut at right angles at Edot If M and N are mid-point of A B and C D respectively, prove that OMEN is a square.

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Two equal chords A B and C D of a circle with centre O , when produced meet at a point E , as shown in Figure, Prove that B E=D E and A E=C Edot

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A ,\ B ,\ C ,\ D are four consecutive points on a circle such that ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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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