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The circles shown in the given figure ar...

The circles shown in the given figure are called externally touching circles. Why?

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The correct Answer is:
Hence the given circles are externally touching circles
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The circles shown in the given figure are called internally touching circles. Why?

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Knowledge Check

  • In the given figure, the radii of the circles are equal. The middle circle is touching all the other circles and each of the other circles is touching exactly three circles as shown in the figure. What is the total number of lines of symmetry that can be drawn for the given figure?

    A
    3
    B
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    12
    D
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  • Variable circles are drawn touching two fixed circles externally then locus of centre of variable circle is

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    B
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    C
    hyperbola
    D
    circle

  • The locus of the centre of a circle, which touches externally to the circle x^(2)+y^(2)-6x-6y +14=0 and also touches the y-axis, is given by

    A
    `x^(2)-y^(2)-10y+14=0`
    B
    `x^(2)-10x-6y+14=0`
    C
    `y^(2)-6x-10y+14=0`
    D
    `y^(2)-10x-6y+14=0`

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    PA and PB are tangents to the circle with centre O from an external point P , touching the circle at A and B respectively. Show that the quadrilateral AOBP is cyclic.

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    The locus of the centre of a circle, which touches externally the circle x^2+y^2 -6x-6y+14=0 and also touches the y-axis, is given by the equation

    The locus of the centre of a circle, which touches externally the circle x^2+y^2 -6x-6y+14=0 and also touches the y-axis, is given by the equation

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