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The equation of the circle touching the...

The equation of the circle touching the `y` -axis at the origin and passing through `(b, c)` is

A

`b(x^(2)-y^(2))=x(b^(2)-c^(2))`

B

`b(x^(2)-y^(2))=x(b^(2)+c^(2))`

C

`b (x^(2)+y^(2))=x(b^(2)+c^(2))`

D

`b(x^(2)+y^(2))=x(b^(2)-c^(2))`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Equation of the circle having normal at (3,3) as the line y=x and passing through (2,2) is

    A
    `x^(2)+y^(2)-5 x+5 y+12=0`
    B
    `x^(2)+y^(2)-5 x-5 y+12=0`
    C
    `x^(2)+y^(2)+5 x-5 y+12=0`
    D
    `x^(2)+y^(2)+5 x+5 y+12=0`

  • The equation of the circle with centre (3,2) touching y -axis is

    A
    `x^(2)+y^(2)+6 x+4 y-3=0`
    B
    `x^(2)+y^(2)-6 x-4 y+4=0`
    C
    `x^(2)+y^(2)-6 x+4 y+4=0`
    D
    `x^(2)+y^(2)+6 x+4 y+4=0`

  • The equation of the circle with centre (2,-3) and touching the y -axis is

    A
    `x^(2)+y^(2)-4 x+6 y+4=0`
    B
    `x^(2)+y^(2)+4 x-6 y+4=0`
    C
    `x^(2)+y^(2)-4 x+6 y+9=0`
    D
    none of these

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