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In an equilateral triangle, prove that t...

In an equilateral triangle, prove that the centroid and centre of the circum-circle (circum centre) coincide.

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

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

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

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

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

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

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

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

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