Home
Class 11
MATHS
The function f(x)=x^(2)+(lambda)/(x) has...

The function `f(x)=x^(2)+(lambda)/(x)` has a

A

minimum at `x=2` if `lambda=16`

B

maximum at x=2 if `lambda=16`

C

maximum for no real value of `lambda`

D

point of inflection at x=1 if `lambda=-1`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II (LECTURE SHEET )(ADVANCED)) (LINKED COMPREHENSION TYPE QUESTIONS)|6 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN)) (STRAIGHT OBJECTIVE TYPE QUESTIONS)|50 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

The function f(x) =tan x has

The range of the function f(x)=(x^(2))/(x^(4)+1) is

The function f(x)=cosx-2lambda x is monotonicallly decreasing when

If the function f(x) =x^2+alpha//x has a local minimum at x=2 , then the value of alpha is

The function f(x)=x^(1//x) has stationary point at