Home
Class 12
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

0

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 26

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • JEE MOCK TEST 4

    NTA MOCK TESTS|Exercise MATHEMETIC - SUBJECTIVE NUMERICAL|5 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(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)*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

NTA MOCK TESTS-JEE MOCK TEST 3-MATHEMATICS
  1. The probability distribution of a random variable X is given as {:(...

    Text Solution

    |

  2. The lengths of two adjacent sides of a cyclic quadrilateral are 2 unit...

    Text Solution

    |

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

    Text Solution

    |

  4. The coefficient of the term independent of x in [sqrt((x/3)) + sqrt(3)...

    Text Solution

    |

  5. The area bounded by y = xe^(|x|) and the lines |x| = 1, y = 0 is

    Text Solution

    |

  6. Minimum distance between the curves y^(2) =x-1 and x^(2) = y -1 is equ...

    Text Solution

    |

  7. The integral int[-1/2]^[1/2]([x]+log([1+x]/[1-x]))dx equals to ([x] i...

    Text Solution

    |

  8. How many words, with or without meaning can be made from the letters o...

    Text Solution

    |

  9. If f (x+y, x-y) = xy, then the arithmetic mean of f(x,y) and f(y, x) i...

    Text Solution

    |

  10. Find the real values of x and y satisfying the equation : ((1+i)x-2i)/...

    Text Solution

    |

  11. Tangent to a curve intercepts the y-axis at a point P. A line perpendi...

    Text Solution

    |

  12. If m is a positive integer and Deltar = |(2r-1, m(Cr), 1), (m^2-1, 2^...

    Text Solution

    |

  13. If alpha = sin^(-1)(sqrt(3)/(2)) + sin^(-1)(1/3) , beta =cos^(-1)(sqrt...

    Text Solution

    |

  14. The logically equivalent proposition of p harr q is

    Text Solution

    |

  15. If log(10)((x^(3) - y^(3))/ (x^(3)+y^(3))) = 2, then (dy)/(dx)=

    Text Solution

    |

  16. If A is the set of even natural number less than 8 and B is the set of...

    Text Solution

    |

  17. For real x, the function [(x-a)(x-b)]/(x-c) will assume all real value...

    Text Solution

    |

  18. OPQR is a square and M ,N are the middle points of the sides PQ and QR...

    Text Solution

    |

  19. int(sin^4x)/(cos^8x)dx

    Text Solution

    |

  20. If x=3 is the chord of the contact of the circle x^2 + y^2 = 81, then ...

    Text Solution

    |