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The number of values of k for which the ...

The number of values of `k` for which the equation `x^3-3x+k=0` has two distinct roots lying in the interval `(0,1)` is three (b) two (c) infinitely many (d) zero

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Knowledge Check

  • The number of values of k for which the equation x ^(2) - 3x + k =0 has two distinct roots lying in the interval (0,1) is

    A
    three
    B
    two
    C
    infinite
    D
    no value of k will satisfy

  • The number of values of k for which the equation x^(2) - 2x + k = 0 has two distinct roots lying in the interval (0,1) is

    A
    0
    B
    1
    C
    2
    D
    infinitely many

  • The number of values of k for which the equation x^(2) -3x +k=0 has two distinct roots lying in the interval (0, 1) are interval (0, 1) are

    A
    three
    B
    two
    C
    infinitely many
    D
    no value of k satisfies the requirement

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