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If a diameter of a circle bisects each o...

If a diameter of a circle bisects each of the two chords of a circle, prove that the chords are parallel.

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If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

If a line segment joining mid-points of two chords of a circle passes through the centre of the circle, prove that the two chords are parallel.

A diameter of a circle is a chord that ..... the centre of the circle.

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Prove that a diameter of a circle which bisects a chord of the circle also bisects the angle subtended by the chord at the centre of the circle.

In the given figure, a diameter PQ of a circle bisects the chord RS at the point O. If PS is parallel to RQ, prove that RS is also a diameter of the circle.

Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.

The diameter of a circle is its ___________ chord.

(a) Is every diameter of a circle also a chord?(b) Is every chord of a circle also a diameter?

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. P Q and R S are two parallel chords of a circle whose centre is O and ...

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

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

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

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

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

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

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  8. If two sides of a cyclic quadrilateral are parallel, prove that the ...

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

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  10. Let the vertex of an angle ABC be located outside a circle and let t...

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  11. In any triangle ABC, if the angle bisector of /Aand perpendicular bis...

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  12. P is a point on the side B C of a triangle A B C such that A B=A Pdot ...

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  13. A B C D is a cyclic quadrilateral whose diagonals A Ca n dB D intersec...

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  14. (Converse of Theorem 3) The line joining the centre of a circle to the...

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  15. .The equation of the circle passing through three non-collinear points...

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  16. Two chords A B and A C of a circle are equal. Prove that the centre of...

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  17. If two chords A B and A C of a circle with centre O are such that the ...

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  18. If two arcs of a circle (or of congruent circles) are congruent, then ...

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  19. If two chord of a circle (or of congruent circles) are equal, then ...

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  20. The perpendicular from the centre of a circle to a chord bisects the ...

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