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Prove that any cyclic parallelogram i...

Prove that any cyclic parallelogram is a rectangle.

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Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

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Prove that : the parallelogram , inscirbed in a circle , is a rectangle.

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Statement 1 : If |veca + vecb| = |veca - vecb| , then veca and vecb are perpendicular to each other. Statement 2 : If the diagonals of a parallelogram are equal in magnitude, then the parallelogram is a rectangle.

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In Figure, O is the centre of the circle. The angle subtended by the a...

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  2. In Figure, B D=D C\ a n d\ /D B C=25^0 find the measure of /B A C

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  3. Prove that any cyclic parallelogram is a rectangle.

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  4. If diagonals of a cyclic quadrilateral are diameters of the circle ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. 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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  20. 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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