Home
Class 11
MATHS
Obsereve the following the lists {:("L...

Obsereve the following the lists
`{:("List-I","List-II"),("A) "f(x)=x^2-2x+5" is increasing in","1) "xgt1/e),("B) "f(x)=x^x" decreases for","2) "(-oo,-1)uu(1,oo)),("C) "f(x)=x+1/x" is increasing in","3) "(1,oo)),("D) "f(x)=9-6x-2x^2-x^3" is decreasing for","4) "(-oo,oo)),("","5) "0ltxlt1/e):}`

A

`{:(A,B,C,D),(3,4,2,5):}`

B

`{:(A,B,C,D),(2,3,5,4):}`

C

`{:(A,B,C,D),(3,1,4,2):}`

D

`{:(A,B,C,D),(2,3,5,4):}`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (LINKED COMPREHENSION TYPE QUESTIONS)|6 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (INTERGER TYPE QUESTIONS)|3 Videos

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|16 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

{:("List-I","List -II"),((A)f(x)=x^(2)-2x+5 "is increasing in","P"phi),((B)f(x)=e^(-x) "is increasing in ","q" (-oo,1)uu(2,oo)),((C)f(x)=logx "is increasing in","r" R),((D)f(x)=(x^(3))/(3)-(3x^(2))/(2)+2x+5 " is increasing in ","s"(0,oo)),(,t(1,oo)):}

Show that x + (1)/(x) is increasing on [1, oo) .

f(x)=2x-Tan^(-1)x-log(x+sqrt(1+x^(2))(xgt0) is increasing in

Show that f(x)=|x| is strictly decreasing on (-oo, 0) and strictly increasing on (0, oo) .

Show that the functions ln""((1+x))/(x) and (x)/((1+x)ln(1+x)) are decreasing on (0, oo) .

Compute the following limits. lim_(x to oo)(3x^(5)-1)/(4x^(2)+1)

Let f(x)=(2^(x)-1)(2^(x)-2)andg(x)=2sinx+cos2x in [0,pi] {:("Column -I","Column -II"),((A)"f increases on",(P)(log_(2)(3//2),oo)),((B)"f decreases on",(Q)(-oo,log_(2)(3//2))),((C)"g decreases on",(R)(0,(pi)/(6))),((D)"g increases on",(S)((5pi)/(6),pi)):}

If f(x)=1-x+x^(2)-x^(3)+x^(4)+….oo then int_(0)^(x)f(x)dx=