If is real, then the minimum value of is
Explanation for the correct answer:
Step-1: Simplifying expression:
Let
Let
will be minimum when will be maximum
Step-2 : Maximum value of :
Differentiating with respect to we get,
The maximum value of occurs at
changes sign from around .
Therefore, at , will attain maximum value.
When
When
As we can say that
Therefore, for real values of the minimum value of is .
Hence option (A) is the correct answer.