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In an equilateral triangle, prove that...

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

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. In Figure, l is a line intersecting the two concentric circles, who...

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  2. In a circle of radius 5\ c m ,\ A B\ a n d\ A C are two chords suc...

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

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

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  5. Two chords A B\ a n d\ C D of a circle are parallel and a line L is ...

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  6. If a diameter of a circle bisects each of the two chords of a circl...

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  7. A B\ a n d\ C D are two parallel chords of a circle whose diameter ...

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  8. Two concentric circle with centre O have A ,\ B ,\ C ,\ D as the p...

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  9. Two circles whose centres are O and O ' intersect at Pdot Throug...

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  10. Prove that the line joining the mid-points of two parallel chords of a...

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  11. Two circles of radii 10\ c m\ a n d\ 8\ c m intersect and the leng...

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  12. Two circles of radii 5\ c m\ a n d\ 3c m intersect at two points a...

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  13. In Figure, two circles with centres A\ a n d\ B and of radii 5\ ...

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  14. In Figure, hat A B~= hat A C and O is the centre of the circle. Prove...

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  15. Prove that the right bisector of a chord of a circle, bisects th...

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  16. Prove that the perpendicular bisector of a chord of a circle always...

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  17. In Figure, A B=C B\ a n d\ O is the centre of the circle. Prove that B...

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  18. Two circle with centres A and B intersect at C and Ddot Prove that /A ...

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  19. Prove that the line joining centres of two interesting circles subte...

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  20. The radius of a circle is 8cm and the length of one of its chords i...

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