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Statement 1: f(x)=x+cosx is increasing A...

Statement 1: `f(x)=x+cosx` is increasing `AAx in Rdot` Statement 2: If `f(x)` is increasing, then `f^(prime)(x)` may vanish at some finite number of points.

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

Statemetn I is true, Statement II is also true, Statement II is not correct explanation of Statement I

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

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ARIHANT MATHS ENGLISH-MONOTONICITY MAXIMA AND MINIMA-EXAMPLE
  1. If x^(2)+y^(2)+z^(2)=1"for " x,y,z inR, then the maximum value of x^(3...

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  2. A solid cylinder of height H has a conical portion of same height and ...

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  3. Statement 1: f(x)=x+cosx is increasing AAx in Rdot Statement 2: If f...

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  4. Consider a DeltaOAB formed by the point O(0,0),A(2,0),B(1,sqrt(3)).P(x...

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  5. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

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  6. Let f(x)=ax^(2)+bx+c,ab,c in R. It is given |f(x)|le1,|x|le1 The po...

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  7. The absolute maximum and minimum values of functions can be found by t...

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  8. The absolute maximum and minimum values of functions can be found by t...

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  9. Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex...

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  10. The graph of derivative of a function f(x) is given (i.e. y=f'(x)). An...

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  11. If a function (continuos and twice differentiable) is always concave u...

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  12. If f(x)={(1)/(x)}andg(x)={x^(2)}, then the number of positive roots sa...

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  13. Match the Statements of Column I with values of Column II.

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  14. Match the Statements of Column I with values of Column II.

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  15. The set of all points where f(x) is increasing is (a,b)cup(c,oo). Find...

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  16. Let f(x) be a cubic polynomial defined by f(x)=x^(3)/(3)+(a-3)x^(2)+...

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  17. If f(x)=max| 2 siny-x|, (where y in R), then find the minimum value o...

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  18. Let f(x)=sin^(-1)((2phi(x))/(1+phi^(2)(x))). Find the interval in whic...

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  19. Find the minimum value of f(x)=|x+2|+|x-2|+|x|.

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  20. The interval to which b may belong so that the functions. f(x)=(1-sq...

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