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Find the equation of the circle which to...

Find the equation of the circle which touches both the axes and the line `x=c`.

Text Solution

Verified by Experts

The correct Answer is:
`(x-1)^(2)+(y+-1)^(2)=1`

Clearly, radius of the circle is `'1'` and centre can be `(1, +-1)`
Therefore, equation of circle will be `(x-1)^(2)+(y+-1)^(2)=1`.
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Knowledge Check

  • The equation of a circle which touches both the coordinate axes and the line x = 3 is

    A
    `4x^(2) + 4y^(2) - 12 x pm 12 y + 9 = 0 `
    B
    `4x^(2) + 4y^(2) + 12 x pm 12 y + 9 = 0 `
    C
    `4x^(2) + 4y ^(2) pm 12 x - 12 y + 9 = 0 `
    D
    ` 4x ^(2) + 4y^(2) pm 12x + 12 y + 9 = 0 `

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