Question

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

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

Answer 1

The correct option is D no value of k satisfies the requirement

$x^2-3x+k=0$
As the sum of root according to the equation is $3$ but the question is asking about the roots in $(0,1)$ whose sum can not be $3$.
So no values of $k$ satisfies the requirement