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In an equilateral triangle, prove that c...

In an equilateral triangle, prove that centroid and circumcentre coincide.

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MODERN PUBLICATION-CIRCLES-EXERCISE
  1. AB and CD are two chords of a circle such that AB = 6 cm, CD = 12 cm a...

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  2. Two parallel chords of lengths 30 cm and 16 cm are drawn on the opposi...

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  3. In an equilateral triangle, prove that centroid and circumcentre coinc...

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  4. Two chords PQ and RS of a circle are parallel to each other and AB is ...

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  5. In fig., two circles with centres O, O' touch externally at a point A....

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  6. Prove that the right-bisector of a chord of a circle bisects the corre...

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  7. Two chords AB and AC of a circle are equal. Prove that the centre of t...

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  8. Two equal chords AB and CD of a circle C(O,r) when produced meet at a ...

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  9. Two equal chords AB and CD of a circle C(O,r) when produced meet at a ...

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

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  11. Prove that the perpendicular at the point of contact to the tangent to...

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  12. Diameter is the largest chord of the circle. (True/False)

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  13. PQ and RQ are chords of a circle equidistant from the centre. Prove th...

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  14. In given Fig. , AD = AE and D and E are points on BC, such that BD = ...

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  15. Prove that of all chords of a circle through a given point within it, ...

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  16. Bisector AD of angleBAC of triangleABC passes through the centre O of ...

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  17. If two equal chords of a circle intersect within the circle, prove tha...

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  18. If two equal chords of a circle intersect within the circle, prove tha...

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  19. If O is the centre of the circle, find the value of x in each of the f...

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  20. O is the centre of the circle and angleAOB = 70^@. Calculate the value...

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