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Equation of the circles concentric with ...

Equation of the circles concentric with the circle `x^(2)+y^(2)-2x-4y=0` and touching the circle `x^(2)+y^(2)+ 2x=1` must be-

A

`x^(2)+y^(2)-2x-4y=0`

B

`x^(2)+y^(2)-2x-4y+3=0`

C

`x^(2)+y^(2)-2x-4y-13=0`

D

`x^(2)+y^(2)-2x-4y-1=0`

Text Solution

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The correct Answer is:
B, C
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Knowledge Check

  • The circle x ^(2) +y^(2) -8 x+4=0 touches -

    A
    x-axis
    B
    y-axis
    C
    both axes
    D
    neither x-axis nor y-axis

  • Equation of a circle with centre (4, 3) touching the circle x^2+y^2=1 is

    A
    `x^2+y^2-8x-6y-9=0`
    B
    `x^2+y^2-8x-6y+11=0`
    C
    `x^2+y^2-8x-6y-11=0`
    D
    `x^2+y^2-8x-6y+9=0`

  • The circle (x+2)^(2) + (y-3)^(2) = 4 touches -

    A
    both the axes
    B
    the x-axis
    C
    the y-axis
    D
    none of these

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