Home
Class 14
MATHS
1/(1+a^(n-m))+1/(1+a^(m-n))=? a. 0 b. 1/...

`1/(1+a^(n-m))+1/(1+a^(m-n))=?` a. 0 b. `1/2` c. 1 d. `a^(m+n)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos

  • TABULATION

    RS AGGARWAL|Exercise All Questions|25 Videos

Similar Questions

Explore conceptually related problems

The HCF of (a -1) (a^(3) + m) and (a +1) (a^(3) -n) and (a +1) (a^(2) -n) " is " a^(2) -1 , then the value of m and n are ______

What is ( 1)/( a^(m-n)-1) + ( 1)/( a^(n-m)-1) equal to ?

lim_(x rarr0)((2^(m)+x)^((1)/(m))-(2^(n)+x)^((1)/(n)))/(x) is equal to (1)/(m2^(m))-(1)/(n2^(n)) (b) (1)/(m2^(m))+(1)/(n2^(n))(1)/(m2^(-m))-(1)/(n2^(-n))( d) (1)/(m2^(-m))+(1)/(n2^(-n))

lim_(x->0) [(2^m +x)^(1/m)-(2^m+x)^(1/n)]/x a) 1/(m2^m)-1/(n2^n) b) 1/(m2^(m-1))-1/(n2^(n-1)) c) m/2^(m-1)-n/2^(n-1) d) none of these

If S_n denotes the sum of first n terms of an A.P. such that (S_m)/(S_n)=(m^2)/(n^2), t h e n(a_m)/(a_n)= a.(2m+1)/(2n+1) b. (2m-1)/(2n-1) c. (m-1)/(n-1) d. (m+1)/(n+1)

RS AGGARWAL-SURDS AND INDICES-All Questions
  1. Number of prime factors is (6^(12)xx(35)^(28)xx(15)^(16))/((14)^(12)xx...

    Text Solution

    |

  2. 1+(3+1)(3^2+1)(3^4+1)(3^8+1)(3^(16)+1)(3^(32)+1) is equal to (3^(64)-1...

    Text Solution

    |

  3. 1/(1+a^(n-m))+1/(1+a^(m-n))=? a. 0 b. 1/2 c. 1 d. a^(m+n)

    Text Solution

    |

  4. If a+b+c=0, then the value of (x^a)^(a^2-b c)*(x^b)^(b^2-ca)*(x^c)^(c^...

    Text Solution

    |

  5. If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...

    Text Solution

    |

  6. (x^a/x^b)^(a+b-c)*(x^b/x^c)^(b+c-a)*(x^c/x^a)^(c+a-b)=? a. 1 b. x^(abc...

    Text Solution

    |

  7. (x^a/x^b)^(a+b)*(x^b/x^c)^(b+c)*(x^c/x^a)^(c+a)=? a. 0 b. x^(abc) c. x...

    Text Solution

    |

  8. (x^a/x^b)^(1//ab)*(x^b/x^c)^(1//bc)*(x^c/x^a)^(1//ca)=? a. 1 b. x^(1//...

    Text Solution

    |

  9. The expression ((x+1/y)^a*(x-1/y)^b)/((y+1/x)^a*(y-1/x)^b) reduces to ...

    Text Solution

    |

  10. If a^x=b^y=c^z \ and\ b^2=a c ,\ then\ y equals a. (xz)/(x+z) b. (x z)...

    Text Solution

    |

  11. If a^x=b ,\ b^y=c\ a n d\ c^z=a , prove that x y z=1

    Text Solution

    |

  12. I f2^x=4^y=8^zand(1/(2x)+1/(4y)+1/(6z))=24/7,t h e nz=?7/48 b)48/7c)44...

    Text Solution

    |

  13. Suppose 4^a=5,\ 5^b=6,\ 6^c=7,\ 7^d=8, then the value of a b c d is a...

    Text Solution

    |

  14. If a b c=1, then (1/(1+a+b^(-1))+1/(1+b+c^(-1))+1/(1+c+a^(-1)))=? a. 0...

    Text Solution

    |

  15. If a ,\ b ,\ c are positive real numbers, then sqrt(a^(-1)b)\ xx\ sqrt...

    Text Solution

    |

  16. If 3^(x-y)=27, and 3^(x+y) = 243, then x is equal to a. 0 b. 2 c. 4 d....

    Text Solution

    |

  17. If x^y=y^x, then (x/y)^(x//y) is equal to a. x^(y//x) b. x^(x/y-1) c. ...

    Text Solution

    |

  18. If 4^(x+y)=1\ and \ 4^(x-y)=4, then the values of x and y respectively...

    Text Solution

    |

  19. If 2^(2x-1)+4^x=2^(x-1/2)+2^(x+1/2), then x equals a. 1/2 b. 2/3 ...

    Text Solution

    |

  20. If 3^(2x-y)=3^(x+y)=sqrt27 , the value of y is a. 1/2 b. 3/4 c. 1/4 d....

    Text Solution

    |