For all real values of x, the minimum value of 
2
2
1
1
x
x
x
x
−
+
+
+
 is
(A) 0
(B) 1
(C) 3
(D) 1
3
29 The maximum value of 
31
[ (
1)
1]
x x −
+
, 0
1
≤x
≤  is
(A)
1
3
31


(B) 1
2
(C) 1
(D) 0
Miscellaneous Examples
Example 30 A car starts from a point P at time t = 0 seconds and stops at point Q The
distance x, in metres, covered by it, in t seconds is given by
x
t
t
=
−


2 2
3
Find the time taken by it to reach Q and also find distance between P and Q Solution Let v be the velocity of the car at t seconds