Sol. a)1

On simplifying the expression by completing the squares, we get

Since the minimum value of the square of any number is zero, the minimum value of the expression is 1.

Sol. b)64

For the fraction to have a maximum value, the denominator should be minimized.

Let us first simplify the denominator

We can see that the minimum possible value of the denominator is 247/64

Thus the maximum value of the expression is 64

Sol. a)1/10

So the maximum value of the expression for real values of x is 1/10

Sol. d) none of these

So the maximum value of the expression is 3.