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If two non-parallel sides of a trapezium...

If two non-parallel sides of a trapezium are equal, it is cyclic. OR An isosceles trapezium is always cyclic.

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If the non-parallel sides of a trapezium are equal, prove that it is cyclic.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

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In the given figure PQRS is an isosceles trapezium, fixd x and y.

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In Figure, P Q R S is an isosceles trapezium. Find x\ a n d\ y

If two opposite sides of a cyclic quadrilateral are equal, then the other two sides are parallel.

If the length of three sides of a trapezium other than the base is 10cm each, find the area of the trapezium, when it is maximum.

The parallel sides of a trapezium are in the ratio 3:4. If the distance between the parallel sides is 9 dm and its area is 126 dm^(2) , find the lengths of its parallel sides.

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. If two sides of a cyclic quadrilateral are parallel, prove that the ...

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  2. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

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  3. If two non-parallel sides of a trapezium are equal, it is cyclic. OR A...

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  4. If two opposite sides of a cyclic quadrilateral are equal, then the ...

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  5. The sum of either pair of opposite angles of a cyclic quadrilateral is...

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  6. If the chord of a circle is equal to the radius of the circle, then th...

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  7. If one side of a cyclic quadrilateral is produced, then the exterior ...

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  8. If the sum of any pair of opposite angles of a quadrilateral is 180^@;...

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  9. The sum of the angles in the four segments exterior to a cyclic qua...

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

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

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

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

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

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

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

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

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

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

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

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