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In the figure, two equal chords AB and C...

In the figure, two equal chords AB and CD of a circle with centre O, intersect each other at E, Prove that AD=CB

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In the adjoining figure. If two equal chords AB and CD of a circle intersect each other at E. then prove that chords AC and DB are equal.

In a figure the common tangents, AB and CD to two circles with centers O and O' intersect at E. Prove that the points O, E and O' are collinear.

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

Two equal chords AB and CD of a circle with centre O, when produced meet at a point E as shown in Figure,Prove that BE=DE and AE=CE.

Two equal chords AB and CD of a circle with centre O, when produced meet at a point E as shown in Figure.Prove that BE=DE and AE=CE.

RD SHARMA-CIRCLE -All Questions
  1. 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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  2. PQ and RQ are chords of a circle equidistant from the centre. Prove t...

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

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

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

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

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

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

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

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  10. Bisector A D of /B A C of A B C passes through the centre O of the ci...

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

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

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

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

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

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  16. A , B and C are three points on a circle such that the angles subten...

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  17. In Figure., A B C is a triangle in which /B A C=30^0dot Show that B C ...

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

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

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

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