Home
Class 12
MATHS
Which one of the following pair of funct...

Which one of the following pair of functions are NOT identical?

A

`e^((lnx)//2)` and `sqrt(x)`

B

`tan(tanx)` and `cot(cotx)`

C

`cos^(2)x+sin^(4)x` and `sin^(2)x+cos^(4)x`

D

`(|x|)/x` and `sgn(x)` where `sgn(x)` stands for signum function.

Text Solution

Verified by Experts

The correct Answer is:
A, B, D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise COMPREHENSION_TYPE|6 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE ADVANCED|14 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

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

Similar Questions

Explore conceptually related problems

Which of the following pair of functions are identical

Which of the following pair of functions are identical?

Which of the following pairs of function are identical?

Which of the following pairs of functions are identical?

Which of the following pairs of functions are identical? f(x)=In x^(3)+In x^(5) and g(x)=3In x+5INx

Which pair of functions is identical?

Which one of the following pair is incorrect?

Which one of the following pairs is diploid?

Which one of the following pairs of atoms/atom-ion have identical ground state configuration?

RESONANCE-RELATION, FUNCTION & ITF-MCQ_TYPE
  1. The function f:xtoY defined by f(x)=x^(2)-4x+5 is both one-one and ont...

    Text Solution

    |

  2. f:NtoN where f(x)=x-(-1)^(x) then f is

    Text Solution

    |

  3. Which one of the following pair of functions are NOT identical?

    Text Solution

    |

  4. If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmet...

    Text Solution

    |

  5. If f(x)={(x^(2),xle1),(1-x,xgt1):} & composite function h(x)=|f(x)|+f(...

    Text Solution

    |

  6. Let f(x)={0 for x=0 x^2 sin (pi/x) for -1 < x < 1(x != 0), then : x |...

    Text Solution

    |

  7. If g:[-2,2]vecR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd function, ...

    Text Solution

    |

  8. If f:Rto[-1,1] where f(x)=sin((pi)/2[x]), (where [.] denotes the great...

    Text Solution

    |

  9. If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] deno...

    Text Solution

    |

  10. Identify the statement(s) which is/are incorrect?

    Text Solution

    |

  11. If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional pa...

    Text Solution

    |

  12. Let f:R->R and g:R->R be two one-one and onto functions such that they...

    Text Solution

    |

  13. Which of the following pairs of functions are identical?

    Text Solution

    |

  14. Q. if sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then

    Text Solution

    |

  15. If x=cos e c[tan^(-1){"cos"(cot^(-1)(sec(sin^(-1)a)))}] and y-"sec"[co...

    Text Solution

    |

  16. If alpha satisfies the inequation x^2 - x - 2 > 0, then a value exists...

    Text Solution

    |

  17. For the finuction f(x)=ln (sin^-1 log2 x)

    Text Solution

    |

  18. If the following functions are defined from [-1,1]to[-1,1], select tho...

    Text Solution

    |

  19. The expression 1/(sqrt(2)){(sincot^(- 1)costan^(- 1)t)/(costan^(- 1)si...

    Text Solution

    |

  20. If 0< x< 1,then tan^(-1)(sqrt(1-x^2)/(1+x)) is equal to

    Text Solution

    |