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If the equation x^(2)-(2k+1)x+k+2=0 has ...

If the equation `x^(2)-(2k+1)x+k+2=0` has exactly one root in `(0,2)` such that maximum possible negative integral value of `k` is `m` and minimum possible positive integral value of `k` is `M` ,then `|M - m|` is

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Knowledge Check

  • If the quadratic equation x^(2) + 2 (k + 1) x + 9k - 5 = 0 has exactly one positive root, then k lies in the set

    A
    `[5//9, infty)`
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