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21 . If x + y = k, x > 0, y > 0, then xy is maximum when
A. x = y B. kx = y
C. x = ky D. None of these

22 . Which of the following is correct ?
A. If f '(a) = 0, then f (a) is an extreme value of f(x)
B. If f(a) is an extreme value of f(x), then f '(a) = 0
C. f(a) is an extreme value of f(x) if f '(a)=0
D. all of these

23 . Let f(x) = lxl, then
A. f(x) is maximum at x = 0
B. f(x) is minimum at x = 0
C. f'(0) = 0
D. None of these

24 . The maxima and minima of the function f(x) = 2x³- 15x² + 36x + 10 occur respectively at
A. x = 1 and x = 3 B. x = 2 and x = 3
C. x= 3 and x = 2 D. x = 3 and x = 4




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