Home
Class 12
MATHS
Let f(x)be a monotic ploynomial of degre...

Let f(x)be a monotic ploynomial of degree (2m-1) where `m in N` Then the equation
`f(x)-f(3x)+f(5x)+….+f((2m -1)` has

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|12 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 7: Subjective Type Questions|1 Videos

  • FUNCTIONS

    ARIHANT MATHS|Exercise FUNCTION EXERCISE 5: Matching Type Questions|1 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=lim_(m->oo){lim_(n->oo)cos^(2m)(n !pix)}, where x in Rdot Then the range of f(x)

Let f(x) be a polynomial of degree 5 such that f(|x|)=0 has 8 real distinct , Then number of real roots of f(x)=0 is ________.

Let f(x) be polynomial function of degree 2 such that f(x)gt0 for all x in R. If g(x)=f(x)+f'(x)+f''(x) for all x, then

If f:[1,oo)rarrR:f(x) is monotonic and differentiable function and f(1)=1, then number of solutions of the equation f(f(x))=(1)/(x^(2)-2x+2) is/are……

If int(f(x))/(x^(3)-1)dx , where f(x) is a polynomial of degree 2 in x such that f(0)=f(1)=3f(2)=-3 and int(f(x))/(x^(3)-1)dx=-log|x-1|+log|x^(2)+x+1|+(m)/(sqrt(n))tan^(-1)((2x+1)/(sqrt(3)))+C . Then (2m+n) is

Let f(x) be a polynomial of degree four having extreme values at x =1 and x=2. If underset(xrarr0)lim[1+(f(x))/x^2] =3, then f(2) is equal to

Let f(x) be a polynominal with real coefficients such that xf(x)=f'(x) times f''(x). If f(x)=0 is satisfied x=1,2,3 only, then the value of f'(1)f'(2)f'(3) is

If f(x) = (x+2)/(3x-1) then f (f(x)) is

If f(x) is a polynomial of degree n such that f(0)=0 , f(x)=1/2,....,f(n)=n/(n+1) , ,then the value of f (n+ 1) is

f(x) is polynomial of degree 4 with real coefficients such that f(x)=0 satisfied by x=1, 2, 3 only then f'(1) f'(2) f'(3) is equal to -

ARIHANT MATHS-FUNCTIONS-Exercise (Single Integer Answer Type Questions)
  1. The minimum value of the fuction f(x) given by f(x)=x^m/m+x^(−n)/n whe...

    Text Solution

    |

  2. If x^(2)+y^(2)=4 then find the maximum value of (x^(3)+y^(3))/(x+y)

    Text Solution

    |

  3. Let f(n) denotes the square of the sum of the digits of natural number...

    Text Solution

    |

  4. If [sinx]+[x/(2pi)]+[(2x)/(5pi)]=(9x)/(10pi), where [*] denotes the gr...

    Text Solution

    |

  5. The number of integral solutions of 1/x+1/y=1/6 " with " x le y " is "...

    Text Solution

    |

  6. If f(x) is a polynominal of degree 4 with leading coefficient '1' sati...

    Text Solution

    |

  7. If a+b = 3- cos 4 theta and a-b =4 sin 2theta, then ab is always less ...

    Text Solution

    |

  8. Let 'n' be the number of elements in the domain set of the function f(...

    Text Solution

    |

  9. Let f(x) be a function such that , f(x-1)+f(c+1)=sqrt(3)f(x), forall x...

    Text Solution

    |

  10. If 2f(x)=f(x y)+f(x/y) for all positive values of x and y,f(1)=0 and f...

    Text Solution

    |

  11. Let f be a function from the set of positive integers to the set of re...

    Text Solution

    |

  12. If f(x)=(x^(4)+x^(2)+1)/(x^(2)-x+1), the value of f(omega^(n)) (where ...

    Text Solution

    |

  13. If f^2(x)*f((1-x)/(1+x))=x^3, [x!=-1,1 and f(x)!=0], then find |[f(-2)...

    Text Solution

    |

  14. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  15. L e t(e^x-e^(-x))/(e^x+e^(-x))=lnsqrt((1+x)/(1-x)),then find x.

    Text Solution

    |

  16. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is (...

    Text Solution

    |

  17. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

    Text Solution

    |

  18. A non-zero function f (x) is symmetrical about the line y=x then the v...

    Text Solution

    |

  19. Let f:R rarr R and f(x)=(3x^(2)+mx+n)/(x^(2)+1). If the range of this ...

    Text Solution

    |

  20. Let f(x)be a monotic ploynomial of degree (2m-1) where m in N Then the...

    Text Solution

    |