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16 . Maxima and Minima occur
A. once B. rarely
C. alternately D. simultaneously

17 . Value of 'c' of the mean value theorem for the function f(x) = x(x - 2), when a = 0, b = 3/2, is
A. 1/2 B. 1/4
C. 3/2 D. 3/4

18 . If f(x , y) = x² + y², then ∇² f is
A. 1 B. 2
C. 3 D. 4

19 . Angle between two unit-magnitude coplanar vectors P(0.866, 0.500, 0) and Q(0.259, 0.966, 0) will be
A. B. 30°
C. 45° D. 60°

20 . Area bounded by the parabola 2y = x and the line x = y - 4 is equal to
A. B. 6
C. 11 D. 18




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