Home
Class 9
MATHS
Prove that: 1/(1+x^(a-b))+1/(1+x^(b-a))=...

Prove that: `1/(1+x^(a-b))+1/(1+x^(b-a))=1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|23 Videos

  • FACTORIZATION OF ALGEBRAIC EXPRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|226 Videos

Similar Questions

Explore conceptually related problems

Solve: 1/(1+x^(a-b))+1/(1+x^(b-a))=?

Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+x^(a-c))=1

Show that: 1/(1+x^(b-a)+x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-c)+\ x^(a-c))=1

Prove that: (a^(-1))/(a^(-1)+b^(-1))+(a^(-1))/(a^(-1)-b^(-1))=(2b^2)/(b^2-a^2)

Show that: (i)\ (x^(a-b))^(a+b)\ (x^(b-c))^(b+c)\ (x^(c-a))^(c+a)=1 (ii)\ {(x^(a-a^(-1)))^(1/(a-1))}^(a/(a+1))=x

If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0 are concurrent (a!=b!=c!=1) , prove that 1/(1-a)+1/(1-b)+1/(1-c)=1 .

If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0(a ,b ,c being distinct and different from 1) are concurrent, then prove that 1/(1-a)+1/(1-b)+1/(1-c)=1.

If the lines a x+y+1=0,x+b y+1=0 and x+y+c=0(a ,b ,c being distinct and different from 1) are concurrent, then prove that 1/(1-a)+1/(1-b)+1/(1-c)=1.

Prove that : (a^(-1))/(a^(-1)+b^(-1))+(a^(-1))/(a^(-1)-b^(-1))=(2b^2)/(b^2-a^2)

Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=a b c

RD SHARMA ENGLISH-EXPONENTS OF REAL NUMBER-All Questions
  1. Prove that: ((x^a)/(x^(b)))^(a^(2+a b+b^2))\ xx\ ((x^b)/(x^(c)))^(b^(2...

    Text Solution

    |

  2. Prove that: ((x^a)/(x^b))^c\xx\ ((x^b)/(x^c))^a\ xx\ ((x^c)/(x^a))^b=1

    Text Solution

    |

  3. Prove that: 1/(1+x^(a-b))+1/(1+x^(b-a))=1

    Text Solution

    |

  4. Prove that: 1/(1+x^(b-a)+\ x^(c-a))+1/(1+x^(a-b)+\ x^(c-b))+1/(1+x^(b-...

    Text Solution

    |

  5. Prove that: (a+b+c)/(a^(-1)\ b^(-1)+b^(-1)\ c^(-1)+c^(-1)a^(-1))=a b c

    Text Solution

    |

  6. Prove that: (a^(-1)+b^(-1))^(-1)=(a b)/(a+b)

    Text Solution

    |

  7. If a b c=1,\ show that 1/(1+a+b^(-1))+1/(1+b+c^(-1))+1/(1+c+a^(-1))=1

    Text Solution

    |

  8. Simplify the following: (i)\ (3^n\ xx\ 9^(n+1))/(3^(n-1)\ xx\ 9^(n-1))...

    Text Solution

    |

  9. Simplify the following: (i)\ (5^(n+3)-\ 6\ xx\ 5^(n+1))/(9\ xx\ 5^n-2^...

    Text Solution

    |

  10. Solve the following equations for x\ : (i)\ 7^(2x+3)=1 (ii)\ 2^(x+1)...

    Text Solution

    |

  11. Solve the following equations for x\ : (i)\ 4^(2x)=1/(32) (ii)\ 4^...

    Text Solution

    |

  12. Solve the following equations for x\ : (i)\ 2^(2x)-\ 2^(x+3)+2^4=0 ...

    Text Solution

    |

  13. If 49392=a^4b^2c^3, find the value of a ,\ b\ a n d\ c , where a ,\ b\...

    Text Solution

    |

  14. If 1176=2^a xx\ 3^b xx\ 7^c , and a , b\ a n d\ c are natural numbers...

    Text Solution

    |

  15. Given 4725=3^a5^b7^c , find the integral values of a ,\ b\ a n d\ c t...

    Text Solution

    |

  16. If a=x y^(p-1),\ b=x y^(q-1) and c=x y^(r-1) , prove that a^(q-r)b^(r-...

    Text Solution

    |

  17. Find the value of: (8/(27))^(1/3)

    Text Solution

    |

  18. Find the value of : ((32)/(243))^(1/5)

    Text Solution

    |

  19. Find the value of: (1/(64))^(1/6)

    Text Solution

    |

  20. Evaluate each of the following by removing radical signs and negative ...

    Text Solution

    |