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Prove that the circle drawn with any sid...

Prove that the circle drawn with any side of a rhombus as a diameter, passes through the point of intersection of its diagonals.

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According to diagram
`/_AEB=90^@`
Circle with AB as diameter passes through E.
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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. If a diameter of a circle bisects each of the two chords of a circle, ...

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  17. Prove that the line segment joining the mid points of two side of a...

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

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

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  20. A B C D is a parallelogram. If A B is produced to E such that B E=A B ...

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