Home
Class 11
MATHS
The number of real solutions of Tan^(-1)...

The number of real solutions of `Tan^(-1)(sqrt(x(x+1))+sin^(-1)sqrt(x^(2)+x+1))=pi/2` is

A

0

B

1

C

2

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -III LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)1|1 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -III LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)2|1 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II LEVEL -I (ADVANCED) INTEGER ANSWER TYPE QUESTIONS)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of tan^(-1)sqrt(x^(2)+x)+ cosec^(-1)sqrt(1-x^(2)-x)=pi/2 is

The number of real solutions of tan^(-1)sqrt(x^(2)-3x+2)+cos^(-1)sqrt(4x-x^(2)-3)=pi is

The number of real solutions of tan^(-1)sqrt(x^(2)-3x+2)+cos^(-1)sqrt(4x-x^(2)-3)=pi is

tan^(-1)(x+sqrt(1+x^(2)))=

The domain of f(x)=Tan^(-1)sqrt(x(x+3))+Sin^(-1)sqrt(x^(2)+3x+1) is

The sum of the solutions of the equation 2sin^(-1)sqrt(x^(2)+x+1)+cos^(-1)sqrt(x^(2)+x)=(3pi)/2 is

The number of solution of the equation Tan^(-1) sqrt(x^(2)+x)+"Cosec"^(-1) sqrt(1-x^(2)-x)=(pi)/(2) is

The number of solutions of the equation abs(tan^(-1)abs(x))=sqrt((x^(2)+1)^(2)-4x^(2)) is

Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x) is/are

int (sqrt(1 -x^(2)) sin^(-1) x + x)/(sqrt(1 - x^(2))) dx =