The value of for which lie between the roots of the equation is
Explanation for the correct answer:
Compute the required value:
Step 1: Write the expression for discriminant of the given equation
Let
For the roots to be real, the value of the discriminant must be greater than or equal to zero.
For the equation,
, the discriminant is given as
Step 2: Apply the condition of discriminants for equation to have real roots
For real roots
Step 3: Apply the condition for a number to be between the roots
For to lie between the roots,
From and we get,
Hence, option is the correct answer.