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Two diameters of a circle intersect each...

Two diameters of a circle intersect each other at right angles. Prove that the quadrilateral formed by joining their end-points is a square.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In the given figure, a diameter PQ of a circle bisects the chord RS at...

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  2. In Figure, A B=C D. Prove that B E=D E\ a n d\ A E=C E , where E is th...

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

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

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  5. A C and B D are chords of a circle that bisect each other. Prove that:...

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  6. A Ca n dB D are chords of a circle that bisect each other. Prove that:...

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

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  8. D is a point on the circumcircle of A B C in which A B=A C such tha...

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  9. The bisector of /B of an isosceles triangle A B C with A B=A C mee...

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  10. Bisectors of angles A, B and C of a triangle ABC intersect its circum...

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  11. Prove that the mid-point of the hypotenuse of a right triangle is eq...

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  12. A B is a diameter of a circle with centre O and radius O D is perp...

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  13. In Figure, P , is any point on the chord B C of a circle such that A B...

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  14. In Figure, AB is a diameter of the circle, CD is a chord equal to th...

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  15. In Figure, O is the centre of the circle. If /A P B=50^0, find /A O B\...

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  16. In Figure, it is given that O is the centre of the circle and /A O...

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  17. In Figure, O is the centre of the circle. Find /B A C

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  18. If O is the center of the circle, find the value of x in each of t...

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

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  20. In the figure, O is the center of the circle and BO is the bisector of...

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