Home
Class 11
MATHS
For what value of m, (a^(m+1)+b^(m+1))/(...

For what value of m, `(a^(m+1)+b^(m+1))/(a^m+b^m)` is the arithmetic mean of a and b ?

A

1

B

0

C

2

D

None of these.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Find the value of m if ((1 + i)/(1 - i))^m = 1

For what value of m will the equation (x^2-bx)/(ax-c)=(m-1)/(m+1) have roots equal in magnitude but opposite in sign?

For what value of m, the coefficients of (2m + 1)^(th) and (4m+5)^(th) terms in the expansion of (1 + x)^10 are equal ?

For what values of m the equation (1+m)x^(2)-2(1+3m)x+(1+8m)=0 has (m in R) (i) both roots are equal

If [(1+i)/(1-i)]^m=1 then the least value of m is:

Find the derivative of (ax + b)^m (cx + d)^n , where a,b,c and d are constants and m,n are integers .

The equation e^x = m(m +1), m<0 has

If ((1+i)/(1-i))^m=1 , then find the least positive integral value of m.

Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Product of geometric means is 3^(35) and sum of arithmetic means is 14025. The value of m is

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Find the value of the expression sum(i=1)^(n)sum(j=1)^(i)sum(k=1)^(j)1...

    Text Solution

    |

  2. If x is a positive number different from 1, such that logax,logbx and ...

    Text Solution

    |

  3. For what value of m, (a^(m+1)+b^(m+1))/(a^m+b^m) is the arithmetic mea...

    Text Solution

    |

  4. If a, b, c are in G.P. and x, y are arithmetic mean of a, b and b, c r...

    Text Solution

    |

  5. A student read common difference of an A.P. as -3 instead of 3 and obt...

    Text Solution

    |

  6. If a1=1 and an =na(n-1), for all positive integers n ge 2, then a5 is ...

    Text Solution

    |

  7. If a1, a2, ............, an are in A.P.with common difference d ne 0, ...

    Text Solution

    |

  8. The arithmetic mean of first n odd natural numbers is :

    Text Solution

    |

  9. In a sequence of 21 terms the first 11 terms are in A.P. with common d...

    Text Solution

    |

  10. If the sum to 2n terms of the A.P. 2, 5, 8, 11, .... is equal to the s...

    Text Solution

    |

  11. The third term of a GP is 3. What is the product of the first five ter...

    Text Solution

    |

  12. If the sum of the first two terms and the sum of the first four terms ...

    Text Solution

    |

  13. If n> 1 and log2 x,log3 x, logx 16, are in G.P., then what is x equal ...

    Text Solution

    |

  14. In a geometric progression with first term a and common ratio r, what ...

    Text Solution

    |

  15. The harmonic mean of two numbers is 21.6. If one of the numbers is 27,...

    Text Solution

    |

  16. Given that alpha,gamma are roots of the equation A x^2-4x+1=0,a n dbet...

    Text Solution

    |

  17. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  18. Sum of the n terms of the series (3)/(1^(2))+(5)/(1^(2)+2^(2))+(7)/(1^...

    Text Solution

    |

  19. Let alpha and beta be the roots of x^2-x+p=0 and gamma and delta be th...

    Text Solution

    |

  20. Let the positive numbers a, b, c, d be in A.P. Then abc, abd, acd, bcd...

    Text Solution

    |