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Let f(x) =a0+a1x^2+a2x^4+…….+anx^(2n) be...

Let f(x) `=a_0+a_1x^2+a_2x^4+…….+a_nx^(2n)` be a polynomial in `x in R` with `0lta_0lta_1lt……lta_n` then f(x) has

A

Only one minimum

B

Only one maximum

C

One maximum and one minimum

D

neither a maximum and nor a minimum

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AAKASH SERIES-MAXIMA & MINIMA-EXERCISE-II
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  3. Let f(x) =a0+a1x^2+a2x^4+…….+anx^(2n) be a polynomial in x in R with 0...

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  4. The function f(x)=4x^5-25x^4+40x^3-10 has

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  5. The function x (x-1) (x-2) attains its maximum value when x is

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  6. If x+y = 6543298 and x^(11)y^5 is maximum then the ratio of the number...

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  7. If xgt0,ygt0,x+y=3 and xy is maximum then the maximum value of xy is

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  8. A line segment of length 8cm is divided into two parts AP and PB by a ...

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  9. The value of 'a' for which the function f(x) =a sin x+1/3 sin 3x has a...

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  10. The real number x when added to its inverse gives the minimum value of...

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  11. The difference of two positive numbers is 10 . If the square of the gr...

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  12. The positive real number which most exceeds its cube is

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  13. The points on y=x^2+7x+2 which is closest to the line y=3x-3 is

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  14. If x is real, then the minimum value of y=(x^(2)-x+1)/(x^(2)+x+1) is

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  15. The maximum value of the area of the triangle with vertices (a,0) ,(a ...

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  16. The height of the cylinder of maximum volume which can be inscribed i...

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  17. The maximum value of f(x) =2x^3-21x^2+36x+20 , in the interval 0 le x ...

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  18. The largest value of f(x)=2x^(3)-3x^(2)-12x+5 for -2lexle4 occurs at x...

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  19. If ma and M respectively denote the minimum and maximum of f(x) =(x-1)...

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  20. The difference between the greatest and the least values of the functi...

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