Home
Class 11
MATHS
The maximum value of expression |sqrt(si...

The maximum value of expression `|sqrt(sin^(2)x+2a^(2))-sqrt(2a^(2)-1-cos^(2)x)|`, where a and x are real numbers, is

A

`sqrt(3)`

B

`sqrt(2)`

C

1

D

`sqrt(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-II(ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|5 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-I(MAIN) (SINGLE ANSWER TYPE QUESTIONS)|47 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos
  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

The maximum value of the expression (x^(2)+x+1)/(2x^(2)-x+1) , for x in R , is

The least value of sin 2x-sqrt(3) cos 2x is

Maximum value of 1+ 8 sin^(2) x^(2) cos^(2) x^(2) is

The maximum value of f(x)=tan^(-1)(((sqrt(12)-2).x^(2))/(x^(4)+2x^(2)+3)) is

The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^(2))/(x^(4)+2x^(2)+3)) is

The value of the expression (int_(0)^(a)x^(4)sqrt(a^(2)-x^(2))dx)/(int_(0)^(a)x^(2)sqrt(a^(2)-x^(2))dx)=

Maximum value of cos x+ sqrt(3) sin x -2 is obtained at