Home
Class 12
MATHS
The greatest and the least value of the ...

The greatest and the least value of the function, `f(x)=sqrt(1-2x+x^(2))-sqrt(1+2x+x^(2)),x in(-oo,oo)` are

A

2,-2

B

2,-1

C

2,0

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 5|8 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|28 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS|Exercise Exercise For Session 3|5 Videos
  • MATRICES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|49 Videos
  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

The greatest, the least values of the function , f(x) =2-sqrt(1+2x+x^(2)), x in [-2,1] are respectively

The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x)) is (-oo,-2]uu[2,oo) b. [-1,1] c. varphi d. none of these

lim_(x rarr oo)x(sqrt(x^(2)+1)-sqrt(x^(2)-1))

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = sqrt((1-x)^(2)(1+2x^(2)))" on"[-1,1]

Find the greatest and the least values of the following functions on the indicated intervals : f(x) = sqrt(4-x^(2)) " on " [-2,2]

The function f(x) = max. {(1-x), (1+x), 2}, x in (-oo, oo) is

The value of lim_(x to oo) (sqrt(x^2+1)-sqrt(x^2-1)) is

lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^2+1))

the value of lim_(x rarr oo)(sqrt(a^(2)x^(2)+ax+1)-sqrt(a^(2)x^(2)+1)),(a>0) is

The value of lim_(x rarr oo)(sqrt(x^(2)+x+1)-sqrt(x^(2)-x+1)) equals