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If a be the radius of a circle which tou...

If `a` be the radius of a circle which touches `x`-axis at the origin, then its equation is -

A

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

B

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

C

`x^(2) + y^(2) +- 2x a = `

D

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

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Knowledge Check

  • The length of the radius of the circle which touches the x - axis at the point (1, 0) and passes through the point (2, 3) is

    A
    `(10)/(3)" units"`
    B
    `(3)/(5)" units"`
    C
    `(6)/(5)" units"`
    D
    `(5)/(3)" units"`

  • The radius of a circle touching x-axis and having centre (2, 4) is

    A
    2
    B
    4
    C
    6
    D
    none

  • The equations of the circle which touch both the axis and the line x = c are

    A
    `x^(2)+y^(2) pm cx pm cy +(c^(2))/(4) =0`
    B
    `x^(2)+y^(2) +cx pm cy +(c^(2))/(4)=0`
    C
    `x^(2)+y^(2) -cx pm cy +(c^(2))/(4) =0`
    D
    none of these

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    The equations of the circle which touches the axis of y at the origin and passes through (3, 4) , is

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