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  4. The number of values of k for which the equation x2 - 3x + k = 0 has two distinct roots lying in the interval (0, 1) are

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Q. 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

WBJEEWBJEE 2016Complex Numbers and Quadratic Equations

Solution:

As $-\frac{b}{2a}=\frac{3}{2}\notin\left(0, 1\right),$ so both roots can not lie between 0 and 1. So no values of k possible.