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If a, b, c, d, e and f are non negative...

If `a, b, c, d, e and f` are non negative real numbers such that `a +b+c+d+e+f=1`, then the maximum value of `ab + bc + cd + de + ef` is

A

`1/6`

B

1

C

6

D

`1/4`

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The correct Answer is:
D
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FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
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  2. Which of the following statements is not true about f(x) = 1+x+ x^(2)/...

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  3. The set of all values a for which f(x) = (a^(2) - 3a+2)(cosx/2)+(a-1)x...

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  4. If f: RvecRa n dg: RvecR are two functions such that f(x)+f^(x)=-xg(x)...

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  5. The largest possible value of the expression f(n) = sinx(1) cosx(2) + ...

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  6. A function g(theta ) = int(0)^(sin^(2)theta) f(x)dx + int(0)^(cos^(2...

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  7. The functio f(x)=tanx+(1)/(x), AA x in (0, (pi)/(2)) has

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  8. The function f(x) = min {|x|, sqrt(1-x^(2))}, -1lt x lt 1 possesses

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  9. If a, b, c, d, e and f are non negative real numbers such that a +b+...

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  10. For the function f(x) = cos^(-1)x + cos ^(-1) x^(2) which of the follo...

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  11. The greatest value of ax + by, when x and y are positive and x^(2)+ y ...

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  12. If x + y=4 and x >=0, y>= 0 find the maximum value of x^3y.

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  13. Find the minimum value of (x1-x2)^2+((x1^2)/20-sqrt((17-x2)(x2-13)))^...

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  14. Let a ,b , c in R such that no two of them are equal and satisfy |2a ...

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  15. If the function y= sin(f(x)) is monotonic for all values of x [ where ...

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  16. If f(x)= |sin x + 2/(3+sin x)+b| and f(b) denote the maximum of the f...

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  17. Maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2 (where 1 le x le 3) is

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  18. For what values of a does the curve f(x)=x(a^2-2a-2)+cosx is always st...

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  19. Statement 1: The function f(x) = |x-a(1)| + |x - a(2)|+ ...+|x-a(2n-1)...

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  20. Statement 1: pi^(4) gt 4^(pi) because Statement 2 : The function y...

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