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Draw different pairs of circles. How man...

Draw different pairs of circles. How many points does each pair have in common ? What is the maximum number of common points ?

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Knowledge Check

  • There are three coplanar lines. If any p points are taken on each of the lines , the maximum number of triangles with vertices at these points is :

    A
    `3p^2(p-1)+1`
    B
    `3p^2(p-1)`
    C
    `p^2(4p-3)`
    D
    None of these

  • The maximum number of points of intersection of 7 circles is

    A
    1)40
    B
    2)21
    C
    3)42
    D
    4)41

  • Two circles intersect each other. Then the total number of common tangents that can be drawn to them is :

    A
    0
    B
    1
    C
    2
    D
    3

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