The point on the curve x2 = 2y which is nearest to the point (0, 5) is
(A) (2 2,4)
(B) (2 2,0)
(C) (0, 0)
(D) (2, 2)
28 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