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Prove that the line joining the midpoint...

Prove that the line joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of it.

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RD SHARMA-CIRCLE -All Questions
  1. A B and C D are two parallel chords of a circle whose diameter is A C ...

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

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  3. Prove that the line joining the midpoints of any two sides of a triang...

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

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

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  6. A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...

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

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

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

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

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

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

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

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

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

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

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

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

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  20. If two circles intersect in two points, prove that the line through th...

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