Maximum- Minimum: Completing Square Method – Problems
Q) Find the minimum value of
a)1 b)49 c)65 d)None of these
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.
Q) Find the maximum value of 
a)247/2 b)64 c)247/4 d)None of these
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
Q) For x to be real, what is the maximum value of 
a)1/10 b) 1/15 c)1/5 d) None of these
Sol. a)1/10
So the maximum value of the expression for real values of x is 1/10
Q) Find the maximum value of 
a)1 b)2 c)17 d)none of these
Sol. d) none of these
So the maximum value of the expression is 3.
http://tathagatclasses.com/cbt/
https://www.facebook.com/TathaGat-TG-322585324466418/?ref=settings
0 comments