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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 `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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RD SHARMA-CIRCLE -All Questions
  1. prove that the line joining the mid-point of two equal chords of a c...

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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 ci...

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  8. If two sides of a cyclic quadrilateral are parallel, prove that the ...

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  9. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

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  10. If two non-parallel sides of a trapezium are equal, it is cyclic. OR A...

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  11. If two opposite sides of a cyclic quadrilateral are equal, then the ...

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  12. The sum of either pair of opposite angles of a cyclic quadrilateral is...

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  13. If the chord of a circle is equal to the radius of the circle, then th...

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  14. If one side of a cyclic quadrilateral is produced, then the exterior ...

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  15. If the sum of any pair of opposite angles of a quadrilateral is 180^@;...

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  16. The sum of the angles in the four segments exterior to a cyclic qua...

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  17. If the bisectors of the opposite angles /Pa n d/R of a cyclic quadrila...

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  18. If O is the circumcentre of a A B C and O D|B C , prove that /B O D=/...

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  19. Two diameters of a circle intersect each other at right angles. Prove ...

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  20. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

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