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Circle (s) touching x - axis at a distan...

Circle (s) touching x - axis at a distance 3 from the origin and having an intercept of length `2sqrt(7)` on y - axis is (are)

A

`x^(2) + y^(2) - 6 x + 8y + 9 = 0 `

B

`x^(2) + y^(2) - 6x + 7y + 9 = 0 `

C

`x^(2) + y^(2) - 6x - 8y + 9 = 0 `

D

`x^(2) + y^(2) - 6x - 7y + 9 = 0 `

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Knowledge Check

  • The equations of the circel which touch the x axis at a distance of 3 unit from the origin and intercepts a chord of length 6 unit on the y-axis, aer-

    A
    `x ^(2) +y^(2) pm 6sqrt2 -6y+9=0`
    B
    `x ^(2) +y^(2) +6x pm 6 sqrt2 y +9=0`
    C
    `x ^(2) +y^(2) pm 6x+6 sqrt2y +9=0`
    D
    `x ^(2) +y^(2) -6xpm6 sqrt2y +9=0`

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