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Equation of the circle touching the circ...

Equation of the circle touching the circle `x^(2) + y^(2) - 15x + 5y = 0` at the point (1, 2) and passing through the point (0, 2) is

A

`13(x^(2)+y^(2)) -13x -61y +70=0`

B

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

C

`13(x^(2)+y^(2))-13x-61y+9=0`

D

none

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • Equation of the circle touching the circle x^(2) + y^(2) -15x + 5y =0 at ( 1,2) and also passing through the point (0,2) is :

    A
    `x^(2) +y^(2) -x-2y =0`
    B
    `x^(2) + y^(2)+2x=0`
    C
    `13( x^(2) +y^(2))-13x -61y +70 =0`
    D
    None of these

  • Equation of the circle touching the circle x^(2)+y^(2)-15x+5y=0 at (1, 2) and also passing through the point (0, 2) is

    A
    `x^(2)+y^(2)-x-2y=0`
    B
    `x^(2)+y^(2)+2x=0`
    C
    `13(x^(2)+y^(2))-13x-61y+70=0`
    D
    none of these

  • Equation of the circle concentric with the circle x^(2) + y^(2) + 8x + 10 y - 7 = 0 , and passing through the centre of the circle x^(2) + y^(2) - 4x - 6y = 0 ,is

    A
    `x^(2)+ y^(2) + 8x + 10y +59 = 0 `
    B
    `x^(2) + y^(2) + 8x + 10y - 59 = 0 `
    C
    `x^(2) + y^(2) - 4x - 6y + 87 = 0 `
    D
    `x^(2) + y^(2) - 4x - 6y - 87 = 0 `

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