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Two circles, each of radius r, with cent...

Two circles, each of radius r, with centres P and Q. are such that each circle passes through the centre of the other circle. Then the area common to the circles is less than one-third of the sum of the areas of the two circles by

A

`(sqrt3r^2)/4`

B

`(sqrt3r^2)/3`

C

`(sqrt3r^2)/2`

D

`sqrt23r^2`

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Knowledge Check

  • Two equal circles of radius 4 cm intersect each other such that each passes through the centre of the other. The length of the common chord is :

    A
    `2sqrt(3)` cm
    B
    `4sqrt(3)` cm
    C
    `2sqrt(2)` cm
    D
    8 cm

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    `sqrt(2r)` units
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    `sqrt(3r)` units
    C
    `sqrt(5r)` units
    D
    `r `units

  • Two circle intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12 , what is the radius of each circle?

    A
    6cm
    B
    12cm
    C
    24cm
    D
    can't say

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