Home
Class 12
MATHS
Number of solutions of equation tan^(-1)...

Number of solutions of equation `tan^(-1)(e^(-x))+cot^(-1)(|lnx|)=pi//2` is:

A

`0`

B

`1`

C

`3`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
D
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise MATCH THE COLUMN|2 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise INTEGER_TYPE|21 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SUBJECTIVE_TYPE|179 Videos

  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi/2 is 2 (b) 3 (c) 1 (d) 0

The number of solutions of the equation tan^(-1)(4{x})+cot^(-1)(x+[x]))=(pi)/(2) is (where [.] denotes greatest integer function and {.} fractional part of function.

Find the number of real solutions of the equation sin^(-1)(e^(x))+cos^(-1)(x^(2))=pi//2 .

Number of solution(s) of the equation 2tan^(-1)(2x-1)=cos^(-1)(x) is :

The number of solutions of equation 2 tan^(-1)(x + 1) = cos^(-1)(x/2) .

The number of solution of the equation tan^(-1) (1 + x) + tan^(-1) (1 -x) = (pi)/(2) is

The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (a) 2 (b) 3 (c) 1 (d) none of these

The number of solution (s) of the equation sin^(- 1)(1-x)-2sin^(- 1)x=pi/2 is/are

Number of solutions of the equation cot^(-1)sqrt(4-x^(2))+cos^(-1)(x^(2)-5)=(3pi)/2 is:

Number of solutions of the equation tan^(-1)((1)/(a-1))=tan^(-1)((1)/(x))+tan^(-1)((1)/(a^(2)-x+1)) is :

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

    Text Solution

    |

  2. lf x >=0 and theta = sin^(-1)x + cos^(-1)x-tan^(-1) x, then

    Text Solution

    |

  3. Number of solutions of equation tan^(-1)(e^(-x))+cot^(-1)(|lnx|)=pi//2...

    Text Solution

    |

  4. The numerical value of cot(2sin^(-1)\ 3/5+cos^(-1)\ 3/5) is

    Text Solution

    |

  5. Statement 1: tan^(2)(sec^(-1)2)+cot^(2)(cosec^(-1)3)=11. Statement -...

    Text Solution

    |

  6. If alpha is a real root of the equation x^(2)+3x-tan2=0 then cot^(-1)a...

    Text Solution

    |

  7. If sin^(-1)((sqrt(x))/(2))+sin^(-1)((sqrt(1-(x)/(4)))+tan^(-1)y=(2pi)/...

    Text Solution

    |

  8. If xlt0, then value of tan^(-1)(x)+tan^(-1)(1/x) is equal to

    Text Solution

    |

  9. If sin^(-1)x + cot^(-1)(1/2)=(pi)/2 then x is equal to

    Text Solution

    |

  10. The numerical value of "tan"(2tan^(-1)(1/5)-pi/4 is equal to

    Text Solution

    |

  11. If f(x)=tan^(-1)((sqrt(3)x-3x)/(3sqrt(3)+x^(2)))+tan^(-1)(x/(sqrt(3)))...

    Text Solution

    |

  12. Statement 1: If agt0,bgt0, tan^(-1)(a/x)+tan^(-1)(b/x)=(pi)/2 . implie...

    Text Solution

    |

  13. If cos^(-1)x-cos^(-1)y/2=alpha,t h e n4x^2-4x ycosalpha+y^2 is equal t...

    Text Solution

    |

  14. For real numbers x and y , define x\ R\ y iff x-y+sqrt(2) is an irrati...

    Text Solution

    |

  15. Let A=Z, the set of integers. Let R(1)={(m,n)epsilonZxxZ:(m+4n) is div...

    Text Solution

    |

  16. Let X be the set of all persons living in a city. Persons x, y in X ar...

    Text Solution

    |

  17. The domain of the function f(x)=log(1//2)(-log(2)(1+1/(root(4)(x)))-1)...

    Text Solution

    |

  18. If q^2 - 4pr =0 , p gt 0 then the domain of the function f(x) = log(p ...

    Text Solution

    |

  19. Let f(x)=(x-[x])/(1+x-[x]),RtoA is onto then find set A. (where {.} an...

    Text Solution

    |

  20. The range of the function f(x)=(e^x-e^(|x|))/(e^x+e^(|x|)) is

    Text Solution

    |