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Let f(x) = sqrt(x^(2)+px+1)/(x^(2)-p). I...

Let `f(x) = sqrt(x^(2)+px+1)/(x^(2)-p)`. If f(x) is discontinuous at exactly 2 values of x then number of integers in the range of p is

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Knowledge Check

  • Let f(x)=sqrt(1+x^(2)) then

    A
    `f(xy)=f(x)*f(y)`
    B
    `f(xy)gef(x)*f(y)`
    C
    `f(xy)lef(x)*f(y)`
    D
    None of these

  • Let f(x) = sqrt(1 + x^(2)) then

    A
    `f(xy) = f(x).f(y)`
    B
    `f(xy) ge f(x).f(y)`
    C
    `f(xy) le f(x).f(y)`
    D
    None of these

  • If f'(x) = sqrt(x) and f(1) = 2 then f(x) is :

    A
    `2/3 (x sqrt(x)+2)`
    B
    `2/3 (xsqrt(x)+2)`
    C
    `3/2 (x sqrt(x)+2)`
    D
    `-2/3 (x sqrt(x)+2)`

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