Home
Class 11
MATHS
If f(x) is a function satisfying f(x+y)=...

If `f(x)` is a function satisfying `f(x+y)=f(x)f(y)` for all `xy in n` such that `f(1)=3` and `sum_(x=1)^(n)f(x)=120`. Then, the value of n is

Text Solution

Verified by Experts

The correct Answer is:
n=4
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS MCQs|16 Videos

  • SEQUENCE AND SERIES

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS MCQs|16 Videos

  • SAMPLE QUESTIONS PAPER-4 (PUNJAB)

    OMEGA PUBLICATION|Exercise Section- D|7 Videos

  • SETS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|27 Videos

Similar Questions

Explore conceptually related problems

If f is a function satisfying f(x+y)= f(x) f(y) for all x,y in N such that f(1)=3 and sum_(x=1)^n f(x)=120 , find the value of n.

If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N such that f(1)=3 and sum_(x=1)^nf(x)=120 , find the value of n .

if f: 9R to 9R satisfies f(x+y)=f(x)+f(y) , for all x, y , in 9 R and f(1)=10 then sum_(r=1)^(n) f(r)

Let f be a function satisfying f(x+y)=f(x) + f(y) for all x,y in R . If f (1)= k then f(n), n in N is equal to

If f: R rarrR satisfying: f(x-f(y)) = f(f(y) +f(x)-1, for all x, y in R , then -f(10) equals.

If f(x) satisfies the relation, f(x+y)=f(x)+f(y) for all x,y in R and f(1)=5, then find sum_(n=1)^(m)f(n) . Also, prove that f(x) is odd.

Let f be differentiable function satisfying f((x)/(y))=f(x) - f(y)"for all" x, y gt 0 . If f'(1) = 1, then f(x) is

If f:R rarr R satisfying f(x-f(y))=f(f(y))+xf(y)+f(x)-1, for all x,y in R , then (-f(10))/7 is ……… .

If a function satisfies (x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y in R and f(1)=2, then

Let f(x)=1/2[f(xy)+f(x/y)] " for " x,y in R^(+) such that f(1)=0,f'(1)=2. f(x)-f(y) is equal to

OMEGA PUBLICATION-SEQUENCE AND SERIES -IMPORTANT QUESTIONS FROM MISCELLANEOUS EXERCISE
  1. Let the sum of n, 2n, 3n terms of an A.P. be S1, S2 and S3, respective...

    Text Solution

    |

  2. Find the sum of all two digit numbers which when divided by 4, yields ...

    Text Solution

    |

  3. If f(x) is a function satisfying f(x+y)=f(x)f(y) for all xy in n such ...

    Text Solution

    |

  4. The sum of some terms of GP. is 315 whose first term and the common ra...

    Text Solution

    |

  5. The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...

    Text Solution

    |

  6. A GP. consists of an even number of terms. If the sum of all the terms...

    Text Solution

    |

  7. If (a+bx)/(a-bx) =(b+cx)/(b-cx) =(c + dx)/(c-dx) (x ne 0), then show t...

    Text Solution

    |

  8. If a(1/b +1/c) , b(1/c +1/a), c(1/a + 1/b) are in A.P. Prove that a,b,...

    Text Solution

    |

  9. If a,b,c,d are in G.P., prove that (a^(n) + b^(n)), (b^(n) + c^(n)), (...

    Text Solution

    |

  10. The ratio of the.A.M. and G.M. of two positive numbers a and b is m : ...

    Text Solution

    |

  11. Find the sum to.n terms of the following series 5+ 55 + 555+………..

    Text Solution

    |

  12. Find the sum to n terms 0.6 + 0.66 + 0.666 + ………..

    Text Solution

    |

  13. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

    Text Solution

    |

  14. Find the sum of first n terms of the series. 3+7 + 13 + 21 + 31 + ……...

    Text Solution

    |

  15. If S(1), S(2), S(3) are the sum of first n natural numbers, their squa...

    Text Solution

    |

  16. Show that : (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. ...

    Text Solution

    |

  17. Let S be the sum, P the product and R the sum of reciprocals of n term...

    Text Solution

    |

  18. A farmer, buys a used tractor for Rs.. 12000. He pays Rs.6000 cash and...

    Text Solution

    |

  19. Shamshad Ali buys a scooter for Rs 22000 He pays Rs. 4000 cash And ag...

    Text Solution

    |

  20. A manufacturer reckons that the value of a machine, which costs him Rs...

    Text Solution

    |