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Which of the following statements ar...

Which of the following statements are true :

A

if f(x) is differentiable function such that f(a) `in` f(b) then there exist no ` c in (a,b)` such that f(c) =0

B

The fucntion `x^(100) +sin x -1 ` is strictly increasing in `[0,1]`

C

if a,b,c are in A.P then at least one root of the equation `3ax^(2) -4bx+ c=0` is positive

D

The number of solution (s) of equation 3 `tan x + x^(3) =2 " in " (0,pi//4) " is " 2`

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The correct Answer is:
B, C
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RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part III
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  8. 2/(x-f(pi/12))+3/(x-f(pi/4))+4/(x-f((5pi)/12))=0

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  10. If f(x)=x/(1+x tan x): x in (0,pi/2), then

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  11. If f(x)=alog|x|+b x^2+x has extreme values at x=-1 and at x=2 , then f...

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  13. if f(x) = tan^(1) x -(1//2) en x. then

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  16. For the fucntion f(x) =x cot^(-1) x , x ge 0

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  17. Which of the following statements are true :

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