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Two circles whose centres are O and O...

Two circles whose centres are `O` and `O '` intersect at `Pdot` Through `P ,` a line `l` parallel to `O O '` intersecting the circles at `C\ a n d\ D` is drawn. Prove that `C D=2\ O O '`

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RD SHARMA ENGLISH-CIRCLE -All Questions
  1. A B\ a n d\ C D are two parallel chords of a circle whose diameter ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Find the length of a chord which is at a distance of 5 cm from the ...

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  16. Find the length of a chord which is at a distance of 4 cm from the ...

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  17. Two chords AB and CD of lengths 5 cm and 11 cm respectively of a ci...

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  18. Suppose you are given a circle. Give a construction to find its cen...

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  19. Prove that the line joining the mid-point of a chord to the centre ...

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  20. Prove that a diameter of a circle which bisects a chord of the circ...

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