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In the interval `[0,1],` the function `x^(25)(1-x)^(75)` takes its maximum value at the point 0 (b) `1/4` (c) `1/2` (d) `1/3`

A

0

B

`1/4`

C

`1/2`

D

`1/3`

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FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
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  2. The equation of curve passing through (1,1) in which the subtangent is...

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  3. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

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  4. f:R rarr R,f(x) is differentiable such that ff((x))=k(x^(5)+x).(kne0) ...

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  5. f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) The...

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  6. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

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  7. If the curves x^(2)/a^(2)+ y^(2)/4 = 1 and y^(3) = 16x intersect at r...

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  8. If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt...

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  9. The function in which Rolle's theorem is verified is:

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  10. f(x)={:{(max g(t), 0let le x , 0le x lepi/2),(min g(t) , xlet lt 0, -p...

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  11. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

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  12. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

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  13. A is a set containing n(1) elements and B is another set containing n(...

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  14. Let A be the point where the curve 5 alpha ^(2) x ^(3) +10 alpha x ^(2...

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  15. For the curve x^(2)y^(3) = c (where c is a constant), the portion of t...

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  16. Which of the following statements is not true about f(x) = 1+x+ x^(2)/...

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

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

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

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

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