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Prove that the centre of the circle c...

Prove that the centre of the circle circumscribing the cyclic rectangle `A B C D` is the point of intersection of its diagonals.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B C D is a cyclic quadrilateral in which: B C is para l l e l t o ...

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  2. Prove that the perpendicular bisectors of the sides of a cyclic qua...

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  3. Prove that the centre of the circle circumscribing the cyclic recta...

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  4. Prove that the circle drawn with any side of a rhombus as a diameter, ...

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  5. If the two sides of a pair of opposite sides of a cyclic quadrilate...

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  6. A B C D is a cyclic quadrilateral in which B A\ a n d\ C D when pr...

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  7. Prove that the angle in a segment greater than a semi-circle is les...

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  8. A B C D is a cyclic trapezium with AD || BC dot If /B=70^0, determin...

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  9. Prove that the line segment joining the mid-point of the hypotenuse...

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  10. A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its d...

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  11. In Figure, two circles intersect at A\ a n d\ B . The centre of ...

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  12. In Figure, two congruent circles with centres O\ a n d\ O ' interse...

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  13. A B C D is a cyclic quadrilateral in which /B A D=75^0,\ /A B D=58^0...

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  14. In Figure, if /A O B=80^0a n d\ /A B C=30^0, then find /C A O

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  15. If O is the circumcentre of A B C , then find the value of /O B C...

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  16. If Figure, A O C is a diameter of the circle and arc A X B=1/2 arc B...

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  17. In Figure, A is the centre of the circle. A B C D is a parallelogra...

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  18. In Figure, A B is a diameter of the circle such that /A=35^0a n d\ ...

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  19. In Figure, P\ a n d\ Q are centres of two circles intersecting at B\...

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  20. In Figure, A B C D is quadrilateral inscribed in a circle with centr...

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