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A C\ a n d\ B D are chords of a circle w...

`A C\ a n d\ B D` are chords of a circle which bisect each other. Prove that
(i) `A C\ a n d\ B D` are diameters
(ii) `A B C D` is a rectangle

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. If diagonals of a cyclic quadrilateral are diameters of the circle ...

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  2. Two circles intersect at two points B and C. Through B, two line seg...

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  3. A C\ a n d\ B D are chords of a circle which bisect each other. Prove ...

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  4. A B C D is a parallelogram. The circle through A ,Ba n dC intersects C...

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  5. In Figure, A ,\ B ,\ C\ a n d\ D ,\ E ,\ F are two sets of collinear p...

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  6. In Figure, A B C D is a cyclic quadrilateral. A circle passing through...

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  7. A B C is an isosceles triangle in which A B=A C. If D\ a n d\ E are ...

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  8. D and E are points on equal sides A B and A C of an isosceles triangle...

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  9. Da n dE are, respectively, the points on equal sides A Ba n dA C of an...

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  10. A B C D is a cyclic quadrilateral. A Ba n dD C are produced to meet in...

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  11. In an isosceles triangle A B C with A B=A C , a circle passing thr...

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  12. In Figure, /A=60^0\ a n d\ /A B C=80^0, find /D P C\ a n d\ /B Q C

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  13. A B is a diameter of a circle C(O ,\ r)dot Chord C D is equal to r...

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  14. P Q\ a n d\ R S are two parallel chords of a circle and lines R P\ ...

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  15. A B C D is a cyclic quadrilateral whose diagonals A C\ a n d\ B D in...

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  16. P is a point on the side B C of a triangle A B C such that A B=A P...

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  17. A B C is a triangle in which A B=A C\ a n d\ P is a point on A C ....

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  18. In any triangle ABC, if the angle bisector of /A and perpendicular bi...

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  19. Let the vertex of an angle ABC be located outside a circle and let t...

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  20. In Figure, A B C is an equilateral triangle. Find m\ /B E C

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