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

`infty`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|5 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (MATRIX MATCHING TYPE QUESTIONS)|1 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - II) (INTEGER TYPE QUESTIONS)|2 Videos

  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 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 =

AAKASH SERIES-INVERSE TRIGNOMETRIC FUNCTIONS-LECTURE SHEET (EXERCISE - III) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. Find the values of cos(2cos^(-1)x+sin^(-1)x) at x = 1/5, where 0 le co...

    Text Solution

    |

  2. The value of x for which sin[cot^(-1)(1+x)]=cos(tan^(-1)x) is :

    Text Solution

    |

  3. The solutio set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x="cot"^...

    Text Solution

    |

  4. The sum of the solutions of the equation 2sin^(-1)sqrt(x^(2)+x+1)+cos^...

    Text Solution

    |

  5. The number of real solutions of Tan^(-1)(sqrt(x(x+1))+sin^(-1)sqrt(x^(...

    Text Solution

    |

  6. If tan^(-1)(sin^(2)theta-2sintheta+3)+cot^(-1)(5^(sec^(2)beta)+1)=pi/2...

    Text Solution

    |

  7. The number of integral values of k for which the equation sin^(-1)x+ta...

    Text Solution

    |

  8. The number of solutions for the equation cos^(-1)(1-x)+mcos^(-1)x=(npi...

    Text Solution

    |

  9. The number of solutions of the equation 3Cos^(-1)x-pix-pi/2=0

    Text Solution

    |

  10. The number of real solutions of abs(y)=sinx, y=cos^(-1)(cosx), -2pi le...

    Text Solution

    |

  11. Number of real solutions of the equation sqrt(1+cos2x)=sqrt(2)Sin^(-1)...

    Text Solution

    |

  12. The solution of the inequality log(1//2)sin^(-1)x gt log(1//2)cos^(-1)...

    Text Solution

    |

  13. If cot^(-1)""n/pi gt pi/6, n in N, then the maximum value of n is

    Text Solution

    |

  14. If (cot^(-1)x)^(2)-7(cot^(-1)x)+10 gt 0, then x lies in the interval

    Text Solution

    |

  15. If [Cot^(-1)x]+[Cos^(-1)x]=0 where x is non-negative real number and [...

    Text Solution

    |

  16. The complete solution set of [tan^(-1)x]^(2)-8[tan^(-1)x]+16 le 0, whe...

    Text Solution

    |

  17. The value of x for which Cos^(-1)(cos4) gt 3x^(2)-4x is

    Text Solution

    |

  18. The least integral value of k for which (k-2)x^(2)+8x+k+4 gt Sin^(-1)(...

    Text Solution

    |

  19. If x, y, z are natural numbers such that cot^(-1)x+cot^(-1)y=cot^(-1)z...

    Text Solution

    |

  20. Which of the following function(s) is/are periodic?

    Text Solution

    |