Home
Class 12
MATHS
Suppose that a function f : R to R s...

Suppose that a function `f : R to R ` satisfies `f(x + y) = f(x) f(y)` for all x `y in R ` and `f(1) = 3` . If `underset(i=l)overset(n)sum f(i) = 363`, then n is equa to _______ .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAINS 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematics (Section A )|20 Videos

Similar Questions

Explore conceptually related problems

If f:R to R satisfies f(x+y)=f(x)+f(y), for all x, y in R and f(1)=7, then sum_(r=1)^(n)f( r) is

If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,y in R and f(1)=7, then sum_(r=1)^(n) f(r) , is

If f:R rarr R satisfies f(x+y)=f(x)+f(y), for all x,y in R and f(1)=2 then sum_(r=1)^(7)f(1)

Let f:R to R such that f(x+y)+f(x-y)=2f(x)f(y) for all x,y in R . Then,

A function f:R rarr R satisfy the equation f(x)f(y)-f(xy)=x+y for all x,y in R and f(y)>0, then

If f:RtoR satisfies f(x+y)=f(x)+f(y), for all real x,y and f(1)=m. then: sum_(r=1)^(n)f(r)=

If a real valued function f(x) satisfies the equation f(x+y)=f(x)+f(y) for all x,y in R then f(x) is

Let f : R to R be a function given by f(x+y) = f(x) + f(y) for all x,y in R such that f(1)= a Then, f (x)=

JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
  1. Consider the statement : For an interger n if n^(3) - 1 is even, ...

    Text Solution

    |

  2. The probabilites fo three events A, B and C are given by P(A) = 0.6...

    Text Solution

    |

  3. Suppose that a function f : R to R satisfies f(x + y) = f(x) f(y) ...

    Text Solution

    |

  4. The sum of distinct value of lambda for which the system of equati...

    Text Solution

    |

  5. If vec(x) and vec(y) be two non - zero vectors such that |vec(x) ...

    Text Solution

    |

  6. Consider the date on x taking the values 0,2,4,8,………., 2^(n) with ...

    Text Solution

    |

  7. The number of word (with or without meaning ) that can be formed ...

    Text Solution

    |

  8. int(pi/6)^(pi/3) tan^3xsin^2 3x(2sec^2x sin^2 3x+3tanx.sin6x)dx

    Text Solution

    |

  9. Let uuu(i=1)^(50)X(i)=uuu(i=1)^(n)Y(i)=T, where each X(i) contains 10 ...

    Text Solution

    |

  10. If alpha,beta are roots of x^2-x+2lambda=0 and alpha,gamma are roots o...

    Text Solution

    |

  11. Contrapositive of the statement : 'If a function f is differentiable...

    Text Solution

    |

  12. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  13. Suppose the vectors x(1), x(2) and x(3) are the solutions of the syste...

    Text Solution

    |

  14. Two persons A and B play a game of throwing a pair of dice until one o...

    Text Solution

    |

  15. The area (in sq. units) of the largest rectangle ABCD whose vertices A...

    Text Solution

    |

  16. The angle of elevation of a cloud C from a point P, 200 m above a stil...

    Text Solution

    |

  17. Let f:(0, oo)rarr(0, oo) be a differentiable function such that f(1)=e...

    Text Solution

    |

  18. Let a(1), a(2), ……, a(n) be a given A.P. whose common difference is an...

    Text Solution

    |

  19. If for some positive integer n, the coefficients of three consecutive ...

    Text Solution

    |

  20. If a and b are real numbers such that (2+alpha)^(4)=a+balpha, where al...

    Text Solution

    |