Home
Class 12
MATHS
If f (x) is a polynomial function satisf...

If f (x) is a polynomial function satisfying `f(x).f((1)/(x))=f(x)+f((1)/(x))` and f(4) =257 then f(3) =

A

28

B

65

C

82

D

244

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET ENGINEERING ENTRANCE EXAM

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|59 Videos

Similar Questions

Explore conceptually related problems

If f(x) is a polynomial function such that f(x)f((1)/(x))=f(x)+f((1)/(x))and f(3) =-80 then f(x)=

f(x) is a contiuous function satisfying f(x)*f((1)/(x))=f(x)+f((1)/(x)) and f(1) gt 0 , then underset(x to 1) (Lt)f(x) is equal to

If f(x) is a polynomial satisfying f(x)f(1//x)=f(x)+f(1//x) and f(3)=28 , then f(4) is equal to

If f(x) is a polynomial function x>0 such that f(x)f(1//x)=f(x)+f(1//x) and f(2)=33 then f(x)=

If f(x) is a polynomial fin x( gt0 ) satisfying the equation f(x)+f(1//x)=f(x).f(1//x) and f(2)=9 , then f(3)=

If f(x).f((1)/(x))=f(x)+f((1)/(x)) , and f(3)=82, then int(f(x))/(x^(2)+1)dx=

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET ( ONLINE QUESTION PAPER 2018 SOLVED)-MATHEMATICS
  1. If f (x) is a polynomial function satisfying f(x).f((1)/(x))=f(x)+f((1...

    Text Solution

    |

  2. The set of all real values of x for which the real valued function f(x...

    Text Solution

    |

  3. Let S(n)=sum(k=1)^(n)(-1)^(k-1).K^(2) for n gt=1. Given that S(2n)=-n(...

    Text Solution

    |

  4. |{:(5,-3,0),(-3,5,0),(0,0,2):}|=

    Text Solution

    |

  5. Let A = [{:(5,-3,0),(-3,5,0),(0,0,2):}] X be a non zero matrix of orde...

    Text Solution

    |

  6. The system of equations (sin 3 theta) x - y+z=0,(cos 2 theta)x+4y+3z=0...

    Text Solution

    |

  7. The maximum value of the modulus of e^(z) on the set { z in C //0 lt="...

    Text Solution

    |

  8. IF Z ne +-1 is a complex number and Arg ((Z-1)/(Z+1))= (pi)/(4) then t...

    Text Solution

    |

  9. If C(r)= ""^(n)C(r), then C(0)+C(4)+C(8)+C(12)+cdots=

    Text Solution

    |

  10. One of the complex roots of the equation x^(11)-x^(6)-x^(5)+1 =0 is

    Text Solution

    |

  11. If the quadratic equation 4^("sec"^(2)alpha).X^(2)+2x+(beta^(2)-beta+(...

    Text Solution

    |

  12. The sum of the non real root of (P^(2)+P-3)(P^(3)+P-2)-12=0 is

    Text Solution

    |

  13. The solution set of the inequation sqrt(x^(2)+6x+5)gt (8-x) is

    Text Solution

    |

  14. The difference of the irrational roots of the equation x^5 -5x^4...

    Text Solution

    |

  15. Let m be a natural number such that 2000lt m lt 60000 and let k be the...

    Text Solution

    |

  16. There are three sections in a question paper each containing 4 questio...

    Text Solution

    |

  17. The coefficient of x^(4) in the expansion of (1+x-x^(2)-x^(3))^(11) is

    Text Solution

    |

  18. If |x| is so small that x^(2) and higher powers of x may be neglected...

    Text Solution

    |

  19. The coefficient of x^(4) in the power series expansion of (x^(2)-1)/((...

    Text Solution

    |

  20. The smallest positive root of the equation tan x-x =0 lies in the inte...

    Text Solution

    |