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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. If the bisectors of the opposite angles /Aa n d/B of a cyclic quadrila...

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

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

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

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  5. In a circle with centre O , chords A Ba n dC D intersect inside the ci...

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

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  7. Bisectors of angles A, B and C of a triangle ABC intersect its circ...

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

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

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

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

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  12. Two chords A B and C D of a circle are parallel and a line l is the pe...

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  13. A circular park of radius 20m is situated in a colony. Three boys Anku...

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  14. In an equilateral triangle, prove that the centroid and centre of the ...

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  15. In Figure, l is a line intersecting the two concentric circles, whose ...

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  16. In the Figure, O D is perpendicular to the chord A B of a circle whose...

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  17. A B and C D are two chords of a circle such that A B=6c m ,C D=12c m a...

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  18. A B and C D are two parallel chords of a circle such that A B=10c m an...

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  19. P Q and R S are two parallel chords of a circle whose centre is O and ...

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  20. A B and C D are two parallel chords of a circle whose diameter is A C ...

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