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Two circles of radii 5\ c m\ a n d\ 3...

Two circles of radii `5\ c m\ a n d\ 3c m` intersect at two points and the distance between their centres is `4c mdot` Find the length of the common chord.

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Two circles of radii 5cm and 3cm intersect at two points and the distance between their centres is 4cm .Find the length of the common chord.

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Knowledge Check

  • Two circles of radii 7 cm and 5 cm intersect each other at P and Q, and the distance between their centres is 10 cm. The length (in cm) of the common chord PQ is:

    A
    `(4 sqrt(66))/(5)`
    B
    `(3sqrt(74))/(5)`
    C
    `(3sqrt(66))/(5)`
    D
    `(2sqrt(74))/(5)`

  • Two circles of radii 5 cm and 3 cm intersect each other at A and B,and the distance betweentheir centres is 6 cm. The length (in cm) of the common chord AB is:

    A
    `(4sqrt(13))/(3)`
    B
    `(2sqrt(14))/(3)`
    C
    `(2sqrt(13))/(3)`
    D
    `(4sqrt(14))/(3)`

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