Home
Class 10
MATHS
If f(x + y) = f(x) +f(y), then the value...

If f(x + y) = f(x) +f(y), then the value of f(0)

A

only 1/2

B

only -1

C

1/2 and - 1

D

none of these.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • RAMKRISHNA MMISSION BOYS SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|54 Videos
  • Real life problem related to different solid objects

    UNITED BOOK HOUSE|Exercise Exercise |28 Videos

Similar Questions

Explore conceptually related problems

If f(x)=(a^(x))+a^(-x)/(2) and f(x+y) +f(x-y)=Kf(x) f(y) , then the value of K.

If for all values of x and y , f(x+y) =f(x) f(y) and f(5) =2, f'(0)=3, then the value of f'(5) is-

If f (x) = sin (log x) then the value of f(xy)+f((x)/(y))-2f (x) cos (log y) is-

If y=f{f(x)} , f(0) =0 and f'(0)=5, then the value of [(dy)/(dx)]_(x=0) is-

If f(x) = cos(log_e x) , then find the value of f(x) cdot f(y) - 1/2[f(x/y) + f(xy)]

If f(0) = 0 ,f'(0) = 2 , then the value differentiable at x = 0 of function y = f[f{f(x)}] is _

Let f(x+1/y) +f(x-1/y) =2f(x) f(1/y) AA x, y in R , y!=0 and f(0)=0 then the value of f(1) +f(2)=

If f(x) is a differentiable function for all x gt 0 and lim_(y to x)(y^(2)f(x)-x^(2)f(y))/(y-x)=2 , then the value of f'(x) is -

If f(x) = (a^x + a^-x)/2, (a gt 2) then the value of f(x + y)+f(x - y) is equal to

UNITED BOOK HOUSE-Ratio and proportion-Exercise
  1. The ratio 2^1.5 : 2^0.5 is the same as

    Text Solution

    |

  2. If a : b = 2/9 : 1/3, b : c = 2/7 : 5/14 and d : c = 7/10 : 3/5 then a...

    Text Solution

    |

  3. To get the ratio p : q (for p not equals to q) one has to add a number...

    Text Solution

    |

  4. If a : (b + c) = 1 : 3 and c : (a + b) = 5 : 7, them b : (a + c) is eq...

    Text Solution

    |

  5. The ratio of 25^2.5 : 5^3 is same as

    Text Solution

    |

  6. If 2a = 3b = 8c, then a : b : c equals

    Text Solution

    |

  7. Tom is chasing jerry. In the same interval of time Tom jumps 8 times w...

    Text Solution

    |

  8. If a : b = b : c, then a^4 : b^4 is equal to

    Text Solution

    |

  9. x, 12, y and 27 are in continued proportion. Then x + y equals

    Text Solution

    |

  10. If b/(a+b)= (a+c-b)/(b+c-a)=(a+b+c)/(2a+b+2c) where a+b-c !=0, show th...

    Text Solution

    |

  11. If f(x + y) = f(x) +f(y), then the value of f(0)

    Text Solution

    |

  12. If 0.75 : x = 5 : 8, then x is equal to

    Text Solution

    |

  13. In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 ...

    Text Solution

    |

  14. The salaries A, B and C are in the ratio 2 : 3 : 5. If the increments ...

    Text Solution

    |

  15. Whice of following ratios is greatest?

    Text Solution

    |

  16. The third proportional to 0.36 and 0.48 is

    Text Solution

    |

  17. If a carton containing a dozen mirrors is dropped, which of the follow...

    Text Solution

    |

  18. What least number must be substracted from each of the numbers 14, 17,...

    Text Solution

    |

  19. The least whole number which when substrated from both the terms of th...

    Text Solution

    |

  20. The speeds of three cars are in the ratio 5 : 4 : 6. The ratio between...

    Text Solution

    |