Home
Class 12
MATHS
Which of the following pair of functions...

Which of the following pair of functions are identical ?

A

`sqrt(1sinx),"sin"x/2+"cos"x/2`

B

`x,(x^(2))/x`

C

`sqrt(x^(2)),(sqrt(x))^(2)`

D

`lnx^(3)+lnx^(2),5lnx`

Text Solution

Verified by Experts

The correct Answer is:
D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MCQ_TYPE|31 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 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 pairs of functions are identical?

Which of the following pairs of function 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

Find the values of x for which the following pair of functions are identical. (i) f(x)=tan^(-1)x+cot^(-1)x " and " g(x)=sin^(-1)x +cos^(-1)x (ii) f(x)=cos(cos^(-1)x) " and " g(x)=cos^(-1)(cosx)

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

Which pair of functions is identical?

Which of the following pairs of compound is/are identical ?

Which of the following pair of species have identical shape?

Check whether following pairs of function are identical or not? f(x)=sqrt(x^(2)) and g(x)=(sqrt(x))^(2)

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Let f be a real valued function defined by f(x)=(e^x-e^(-|x|))/(e^x+e^...

    Text Solution

    |

  2. The range of the function f(x) = log(sqrt2) (2- log2(16 sin^2x +1)) is

    Text Solution

    |

  3. Which of the following pair of functions are identical ?

    Text Solution

    |

  4. If domain of f(x) is(-oo,0], then domain of f(6{x}^2-5(x)+ 1) is (wher...

    Text Solution

    |

  5. Let f: (e, oo) -> R be defined by f(x) =ln(ln(In x)), then

    Text Solution

    |

  6. If f(x) =2 [x]+ cos x, then f: R ->R is: (where [ ] denotes greatest ...

    Text Solution

    |

  7. If f : R -> R be a function such that f(x) = { x|x| -4; x in Q, x|x| -...

    Text Solution

    |

  8. f(x) = |x-1|, f: R^+->R, g(x) = e^x, g:[-1,oo)->R. If the function fog...

    Text Solution

    |

  9. Let f:(2,4)->(1,3) where f(x) = x-[x/2] (where [.] denotes the greates...

    Text Solution

    |

  10. The mapping f: R->R given by f(x) = x^3 + ax^2 + bx + c is bijection i...

    Text Solution

    |

  11. If the function f:[1,oo)to[1,oo) is defined by f(x)=2^(x(x-1)) then f^...

    Text Solution

    |

  12. Let f:N->N, where f(x)=x+(-1)^(x-1), then the inverse of f is.

    Text Solution

    |

  13. tan(pi/4+1/2cos^-1x)+tan(pi/4-1/2cos^-1x), x!=0 is equal to

    Text Solution

    |

  14. The value of cot^(-1){(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1...

    Text Solution

    |

  15. The domain of the function f (x) = sin^(-1)((1+x^3)/(2x^(3/2)))+sqrt(s...

    Text Solution

    |

  16. A function g(x) satisfies the following conditions (i) Domain of g i...

    Text Solution

    |

  17. The complete solution set of the inequality [cot^(-1)x]^2-6[cot^(-1)x]...

    Text Solution

    |

  18. sin^-1(sin 5)> x^2-4 x holds if

    Text Solution

    |

  19. If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+cos^(- 1)(x^2-(x^4)/2+(x^6)/4-....

    Text Solution

    |

  20. if cot^(-1)[sqrt(cosalpha)]-tan^(-1)[sqrt(cosalpha)]=x then sinx is eq...

    Text Solution

    |