Home
Class 11
MATHS
If f(x)=cos (logx), then f(x)f(y)-1/2[...

If `f(x)=cos (logx)`, then `f(x)f(y)-1/2[f(x/y)+f(xy)]=`

A

`-1`

B

`1//2`

C

`-2`

D

none of these.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SETS, RELATIONS AND FUNCTIONS

    MARVEL PUBLICATION|Exercise MCQs|139 Videos
  • SEQUENCES AND SERIES

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|81 Videos
  • STRAIGHT LINE

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQS|160 Videos

Similar Questions

Explore conceptually related problems

If f(x)=cos(log x), then f(x)f(y)-(1)/(2)[f((x)/(y))+f(xy)]=

If f(x)=cos(log x), then f(x)f(y)-(1)/(2)[f((x)/(y))+f(xy)]=

If f(x)=cos(log x), " then " f(x)*f(y)-(1)/(2)[f((x)/(y))+f(xy)] has the value

If f(x)=cos(ln x) then f(x)f(y)-(1)/(2)(f((x)/(y))+f(xy)) has the value

If f(x)=cos(log x), then f(x^(2))f(y^(2))-(1)/(2)[f((x^(2))/(y^(2)))+f(x^(2)y^(2))] has the value

If f(x)=cos(log x) then f(x^(2))f(y^(2))-(1)/(2)[f((x^(2))/(2))+f((x^(2))/(y^(2)))] has the value has

MARVEL PUBLICATION-SETS, RELATIONS AND FUNCTIONS-MCQs
  1. If f(x)=2x^n+a, where f(2)=26 and f(4)=138, then: f(3)=

    Text Solution

    |

  2. Two finite sets have m and n elements. The total number of subsets of ...

    Text Solution

    |

  3. If f(x)=cos (logx), then f(x)f(y)-1/2[f(x/y)+f(xy)]=

    Text Solution

    |

  4. If f(x)=sin(logx) then f(xy)+f(x/y)-2f(x)cos(logy)= (A) cos(logx) ...

    Text Solution

    |

  5. If f(x)=(1-x)/(1+x), then f[ f(cos2 theta)]=

    Text Solution

    |

  6. If: f(x)=bx^2+cx+d and: f(x+1)-f(x)=8x+3, then:

    Text Solution

    |

  7. if f(x)=x/(x-1) then f(a) / f(a+1)=?

    Text Solution

    |

  8. If: f(theta)=log((1+theta)/(1-theta)), then: f((2theta)/(1+theta^2))=

    Text Solution

    |

  9. If f(x)=(x-3)/(x+1) then f[f{f(x)}] equals

    Text Solution

    |

  10. If f(x)=(x-|x|)/(|x|), then f(-1)=

    Text Solution

    |

  11. If f(x) = 4x^3 + 3x^2 + 3x + 4, then x^3f(1/x) isequal to

    Text Solution

    |

  12. If the function f :N to N is defined by f (x)= sqrtx, then (f (25))/(f...

    Text Solution

    |

  13. If f(x) = x/(x-1)=1/y then the value of f(y) is

    Text Solution

    |

  14. Let the function f be defined by f(x) = ((2x +1) / (1-3x)) then f^-1 (...

    Text Solution

    |

  15. If f(x)=(2x-1)/(x+5),xne-5, then f^(-1)(x) is equal to

    Text Solution

    |

  16. Let f(x) be the greatest integer function and g(x) be the modulus func...

    Text Solution

    |

  17. If: f(x)=(x)/(x+1) andg(x)=(x)/(1-x), then: (f@g)(x)=

    Text Solution

    |

  18. If, from RtoR,f(x)=(x+1)^2 and g(x)=x^2+1, then: (f@g)(-3)=

    Text Solution

    |

  19. If g(x)=1+sqrtx and f(g(x))=3+2sqrtx+x then f(x) is equal to

    Text Solution

    |

  20. If: f(x)=5-x^2,g(x)=3x-4, then: (f@g)(-1)=

    Text Solution

    |