Home
Class 12
MATHS
If a+alpha=1,b+beta=2 and af(n)+alphaf(1...

If `a+alpha=1,b+beta=2` and `af(n)+alphaf(1/n)=bn+beta/n`, then find the value of `(f(n)+f(1/n))/(n+1/n)`

Text Solution

Verified by Experts

The correct Answer is:
2
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - B)|10 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-A|100 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

If   f(x ) = n/( n+1) , then find the value of f(n) + 1/f(n)

If alpha and beta are the roots of the equation x^(2)-3x-15=0 and (n)=alpha^(n)+beta^(n) then find the value of (f(8)-3f(7)+f(6))/(2f(6))

If alpha and beta are roots of the equation x^(2)-3x+1=0 and a_(n)=alpha^(n)+beta^(n)-1 then find the value of (a_(5)-a_(1))/(a_(3)-a_(1))

If alpha and beta are roots of x^(2)-x+2=0 and S_(n).=alpha^(n)+beta^(n),n in N ,then value of (sum_(n=1)^(5)s_(n))/(sum_(n=1)^(4)alpha^(n)+sum_(n=1)^(4)beta^(n)+7) is

Let alpha and beta be the roots of x^(2)-6x-2=0 with alpha>beta if a_(n)=alpha^(n)-beta^(n) for n>=1 then the value of (a_(10)-2a_(8))/(2a_(9))

If alpha,beta be the roots of x^(2)-x-1=0 and A_(n)=alpha^(n)+beta^(n), then A . M of A_(n-1) and A_(n), is

Let alpha and beta be the roots of x^(2)-5x+3=0 with alpha gt beta . If a_(n) = a^(n)-beta^(n) for n ge1 , then the value of (3a_(6)+a_(8))/(a_(7)) is :

If alpha and beta be root of x^2-6x-2=0 with alpha gt beta if a_n=alpha^n-beta^n for n ge 1 then the value of (a_(10)-2a_8)/(3a_9)

If (1)=1 and f(1)+2f(2)=3f(3)+......nf(n)=n(n+1)f(n) Then find the value of 49f(49)

If alpha,beta,gamma are the roots of the equation x^(3)-2x^(2)-1=0 and T_(n)=alpha^(n)+beta^(n)+gamma^(n) Find the value of (T_(11)-T_(8))/(T_(10))

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-B
  1. For integers n and r, let ([n], [r])={(""^nCr," ""if " n ge r ge 0),...

    Text Solution

    |

  2. Let lambda be an interger. If the shortest distance between the lines...

    Text Solution

    |

  3. If a+alpha=1,b+beta=2 and af(n)+alphaf(1/n)=bn+beta/n, then find the v...

    Text Solution

    |

  4. Let a point P be such that its distance from the point (5, 0) is thri...

    Text Solution

    |

  5. If the area of the triangle formed by the positive x-axis, the normal...

    Text Solution

    |

  6. The variance of 10 natural numbers 1,1,1,1 ... k is less then 10 . Fin...

    Text Solution

    |

  7. Sum of first four terms of GP is 65/12 , sum of their reciprocals is 6...

    Text Solution

    |

  8. S1 , S2 , . . . , S10 are 10 students , in how many ways they can be d...

    Text Solution

    |

  9. Let i=sqrt(-1). If ((-1+isqrt3)^(21))/((1-i)^(24))+((1+isqrt3)^(21))/...

    Text Solution

    |

  10. The number of the real roots of the equation (x + 1)^2 + |x – 5|=(27)...

    Text Solution

    |

  11. IF z(z in C) satisfy abs(z+5)le5 and z(1+i)+barz(1-i)ge-10.If the maxi...

    Text Solution

    |

  12. Let the normals at all the points on a given curve pass through a fixe...

    Text Solution

    |

  13. Pn=alpha^n+beta^n , alpha +beta=1 , alpha*beta=-1 , P(n-1)=11 ,P(n+1)=...

    Text Solution

    |

  14. If I(m,n)=overset1underset0intx^(m-1)(1-x)^(n-1)dx for m,nge1 and ove...

    Text Solution

    |

  15. If the arithmetic mean and geometric mean of the p^(th) and q^(th) ter...

    Text Solution

    |

  16. The total number of 4-digit number whose greatest common divisor with ...

    Text Solution

    |

  17. Let L be a common tangent line to the curves 4x^2+9y^2=36 and (2x)^2+(...

    Text Solution

    |

  18. If all the zeros of polynomial function f(x)=2x^5+5x^4+10x^3+10x^2+10x...

    Text Solution

    |

  19. Let X1,X2,….,X(18) be eighteen observations such that sum(i=1)^(18)(Xi...

    Text Solution

    |

  20. If [[1,0,0],[0,2,0],[3,0,-1]] and A^20 +alphaA^19+betaA=[[1,0,0],[0,4,...

    Text Solution

    |