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21. Value of 'c' of the mean value theorem for the function f(x) = x(x - 2), when a = 0, b = 3/2, is
3/4
1/2
3/2
1/4
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22. If f(x , y) = x2 + y2, then ∇2 f is
4
2
0
4(x + y)2
23. The value of integral
0.25
1
∞
24. Angle between two unit-magnitude coplanar vectors P(0.866, 0.500, 0) and Q(0.259, 0.966, 0) will be
00
300
450
600
25. Area bounded by the parabola 2y = x2 and the line x = y - 4 is equal to
6
18
none of these
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