Home
Class 12
MATHS
The number of solution of the equation |...

The number of solution of the equation `|tan^(-1)|x||=sqrt((x^(2)+1)^(2)-4x^(2))` is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|20 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 7|7 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation |x-1|-|2x-5|=2x

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

The number of real solution of the equation x^(2)=1-|x-5| is:

The number of real solutions of the equations: tan^-1 sqrt(x(x+1)) + sin^-1 sqrt(x^2 + x+1) = pi/2 is

Find the number of solutions of the equation sinx=x^2+x+1.

The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3x+4

Find the number of solution of the equation tan (Sigma_(r=1)^(5) cot^(-1) (2r^(2))) = (5x+6)/(6x+5) .

Number of solution (s) of the equations cos^(-1) ( cos x) = x^(2) is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

Find the general solution of equation sec^(2) x=sqrt(2)(1-tan^(2)x)

ARIHANT MATHS-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then x=tan2^0 (b) x=tan4^0 x=tan1/4...

    Text Solution

    |

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

    Text Solution

    |

  3. The number of solution of the equation |tan^(-1)|x||=sqrt((x^(2)+1)^(2...

    Text Solution

    |

  4. For any real number x ge 1, the expression sec^(2)x ( tan^(-1)x) - ...

    Text Solution

    |

  5. Let f : R to [0, pi/2) be defined by f ( x) = tan^(-1) ( x^(2) + x +...

    Text Solution

    |

  6. The value of expression tan^(- 1)((sqrt(2))/2)+sin^(- 1)((sqrt(5))/5)-...

    Text Solution

    |

  7. The value of sec ( 2 cot^(-1) 2 + cos^(-1) . 3/5) is equal to

    Text Solution

    |

  8. Which one of the following statement is meaningless ?

    Text Solution

    |

  9. The value of sec(sin^-1(sin((-50pi)/9))+cos^-1(cos(31pi)/9))

    Text Solution

    |

  10. The number k is such that tan { arc tan (2) + arc tan (20 k) } = k. ...

    Text Solution

    |

  11. The value of Sigma( r =1)^( infty) tan^(-1) ( 1/( r^(2) - 5r + 7)) ,...

    Text Solution

    |

  12. If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 c...

    Text Solution

    |

  13. Prove that: tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A)=0

    Text Solution

    |

  14. Prove that : tan^-1(1/2) + tan^-1(1/5) + tan^-1(1/8) = pi/4

    Text Solution

    |

  15. Number of solutions (s) of the equations cos^(-1) ( 1-x) - 2 cos^(-...

    Text Solution

    |

  16. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

    Text Solution

    |

  17. The range of values of p for which the equation sin cos^(-1) (cos (tan...

    Text Solution

    |

  18. Number of solutions of the equation log(10) ( sqrt(5 cos^(-1) x -1 ...

    Text Solution

    |

  19. Solve sin^(-1) x+ cos^(-1) x = sin^(-1) (3x -2)

    Text Solution

    |

  20. The set of values of x, satisfying the equation tan^2(sin^-1x) > 1 is ...

    Text Solution

    |