Home
Class 14
MATHS
If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt...

If `a=(sqrt(5)+1)/(sqrt(5)-1)` and `b=(sqrt(5)-1)/(sqrt(5)+1)` , the value of `((a^2+a b+b^2)/(a^2-a b+b^2))` is `3/4` (b) `4/3` (c) `3/5` (d) `5/3`

Promotional Banner

Topper's Solved these Questions

  • SIMPLIFICATION

    RS AGGARWAL|Exercise question|15 Videos
  • STOCKS AND SHARES

    RS AGGARWAL|Exercise All Questions|42 Videos

Similar Questions

Explore conceptually related problems

If a=(3-sqrt(5))/(3+sqrt(5)) and b=(3+sqrt(5))/(3-sqrt(5)) ,find the value of a^(2)+b^(2)

(sqrt(5)-1)/(sqrt(5)+1)+(sqrt(5)+1)/(sqrt(5)-1) =a+b sqrt(5) Then find the value of a and b

If (4+3sqrt(5))/(sqrt(5))=a+b sqrt(5), bis

If a=(sqrt(5)+sqrt(2))/(sqrt(5)-sqrt(2)) and b=(sqrt(5)-sqrt(2))/(sqrt(5)+sqrt(2)), find the value of (a^(2)+ab+b^(2))/(a^(2)-ab+b^(2))

RS AGGARWAL-SQUARE ROOTS AND CUBE ROOTS-All Questions
  1. If x=3+sqrt(8) , then x^2+1/(x^2) is equal to (a) 30 (b) 34 (c) 36 (d)...

    Text Solution

    |

  2. If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)), b=(sqrt(3)-sqrt(2))/(sqrt(3)...

    Text Solution

    |

  3. If a=(sqrt(5)+1)/(sqrt(5)-1) and b=(sqrt(5)-1)/(sqrt(5)+1) , the value...

    Text Solution

    |

  4. If x=sqrt(1+sqrt(1+sqrt(1+sqrt(1+ .oo)))) , then the value of x is ...

    Text Solution

    |

  5. sqrt(2+sqrt(2+sqrt(2+\ dot))) is equal to (a) 1 (b) 1.5 (c) 2 (d) 2.5

    Text Solution

    |

  6. If a=sqrt(3+sqrt(3+sqrt(3+\ ddot))) , then which of the following i...

    Text Solution

    |

  7. (sqrt(3+x)+sqrt(3-x))/(sqrt(3+x)-sqrt(3-x))=2 . Then x is equal to 5/7...

    Text Solution

    |

  8. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  9. A gardener plants 17956 trees in such a way that there are as many ...

    Text Solution

    |

  10. The number of trees in each row of a garden is equal to the total n...

    Text Solution

    |

  11. 1250 oranges were distributed among a group of girls of a class. Ea...

    Text Solution

    |

  12. A General wishes to draw up his 36581 soldiers in the form of a sol...

    Text Solution

    |

  13. A group of students decided to collect as many paise from each memb...

    Text Solution

    |

  14. A mobile company offered to pay the Indian Cricket Team as much mon...

    Text Solution

    |

  15. 148877 3=? (a) 43 (b) 49 (c) 53 (d) 59

    Text Solution

    |

  16. 681472 3=? (a) 76 (b) 88 (c) 96 (d) 98

    Text Solution

    |

  17. 1728-:262144 3xx?-288=4491 (a) 148 (b) 156 (c) 173 (d) 177

    Text Solution

    |

  18. 99xx21-?3=1968 (a) 1367631 (b) 111 (c) 1366731 (d) 1367

    Text Solution

    |

  19. The cube root of .000216 is (a) .6     (b) .06     (c) .006     (d)...

    Text Solution

    |

  20. 4(12)/(125)3=? 1 2/5 (b) 1 3/5 (c) 1 4/5 (d) 2 2/5

    Text Solution

    |