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For which y can be a function of x. (x i...

For which y can be a function of x. `(x in R, y in R)`
`(x-h)^2+(y-k)^2=r^2`

Text Solution

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`(x-h)^2+(y-k)^2=r^2`
`implies=k+-sqrt(r^2-(x-h)^2)`.
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Knowledge Check

  • Let R rarr R be a function such that f(x+y) = f(x)+f(y) AA x, y in R . If f(x) is differentiable at x= 0, then

    A
    f(x) is differentiable only in a finite interval containing zero
    B
    f(x) is continuous `AA x in R`
    C
    f'(x) is constant `AA x in R`
    D
    f(x) is differentiable except a finitely many points
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