WBJEE · Maths · Quadratic Equation
The number of values of \(k,\) for which the equation \(x^{2}-3 x+k=0\) 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 & Solution
Correct Answer
(D) no value of \(k\) satisfies the requirement
Step-by-step Solution
Detailed explanation
Given equation is \[ x^{2}-3 x+k=0 \] As. \[ -\frac{b}{2 a}=\frac{3}{2} \notin (0,1) \] Since, both roots cannot lie between 0 and So, no value of \(k\) is possible.
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