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Examine whether the two circles x^2+y^2...

Examine whether the two circles `x^2+y^2-2x-4y=0` and `x^2+y^2-8y-4=0` touch each other externally or internally .

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Knowledge Check

  • The two circles x^(2)+y^(2)-cx=0 and x^(2)+y^(2)=4 touch each other if:

    A
    `|c|=4`
    B
    `|c|=2`
    C
    `|c|=8`
    D
    None of these

  • The circles x^(2)+y^(2)+2x-2y+1=0 and x^(2)+y^(2)-2x-2y+1=0 touch each other

    A
    externally at (0, 1)
    B
    internally at (0, 1)
    C
    externally at (1, 0)
    D
    internally at (1, 0)

  • The circles x^(2)+y^(2)-2x-4y+1=0 and x^(2)+y^(2)+4y-1 =0

    A
    touch internally
    B
    touch externally
    C
    have `3x+4y-1=0` as the common tangent at the point of contact.
    D
    have `3x+4y+1=0` as the common tangent at the point of contact.

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