Home
Class 9
MATHS
If a = (sqrt5 +1 )/(sqrt5-1) and b = (...

If ` a = (sqrt5 +1 )/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1)` then determine the value of ` (a^(2) + ab + b^(2))/(a^(2) -ab+b^(2))`

Text Solution

Verified by Experts

The correct Answer is:
`4/3`
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    CALCUTTA BOOK HOUSE|Exercise Exercise 1.4 ( Short answer )|11 Videos

  • PROPERTIES OF PARALLELOGRAM

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 1 (Long - answer type questions)|14 Videos

  • SECTION FORMULAS

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-2|30 Videos

Similar Questions

Explore conceptually related problems

If a = (sqrt5 + 1)/(sqrt5 + 1) and b = (sqrt5 -1)/(sqrt5 + 1) , then find the value of (a) (a^(2) + ab + b^(2))/(a^(2) - ab + b^(2)) (b) ((a -b)^(3))/((a + b)^(3)) (c) (3a^(2) + 5ab + b^(2))/(3a^(2) - 5ab + b^(2)) (d) (a^(3) + b^(3))/(a^(3) - b^(3))

If a = (sqrt5 +1)/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then find the value of (5a^(2) -3ab +5b^(2))

If x = (sqrt5 -1)/(sqrt5 +1) and y (sqrt5 +1)/(sqrt5-1) then find the value of (x^(2)/y + y^(2)/x)

(a) If x = (sqrt5 +1)/(sqrt5-1) then find the value of (x -1/x)

If x= (sqrt5+1)/(sqrt5-1) and x = 1/y then find the value of (3x^(2) -7xy + 3y^(2))

If a = sqrt5 + 2 then find the value of : a^(2) + 1/a^(2)

If a (2 + sqrt3) = b ( 2-sqrt3) =1 then find the value of 1/(a^(2) +1) + 1/(b^2 +1)

If a + b = sqrt5 and a -b = sqrt3 , then the value of a^(2) + b^(2) is

If a + b = sqrt5 and a - b = sqrt3 , then the value of a^2 + b^2 is

CALCUTTA BOOK HOUSE-REAL NUMBERS -Exercise 1.4 ( Long answer)
  1. If E be a random experiment or rolling a dice and S be its sample spac...

    Text Solution

    |

  2. If sqrt((sqrt10 +1)/(sqrt10-1)) then find the value of (x 1/x)

    Text Solution

    |

  3. IF x =13 + 2sqrt(42) then find the value of ( sqrtx - 1/sqrt(x))

    Text Solution

    |

  4. simplify : (a) sqrt(98) + sqrt(8) -2 sqrt(32) (b) (sqrt3 + sqrt5...

    Text Solution

    |

  5. Find the value of (a)(3sqrt2)/(sqrt3 + sqrt6) - (4sqrt3)/(sqrt6 + sq...

    Text Solution

    |

  6. Simplify : (a) sqrt(y+sqrt(2xy-x^(2))) + sqrt(y-sqrt(2xy-x^(2))) (b)...

    Text Solution

    |

  7. If a = sqrt5 + 2 then find the value of : a^(2) + 1/a^(2)

    Text Solution

    |

  8. If x = 1/(2-sqrt3) then find the value of (x^(3) -2x^(2) -7x+2)

    Text Solution

    |

  9. If a x = 2 + sqrt3 then evaluate (x^(3) -5x^(2) + 5x + 9)

    Text Solution

    |

  10. If a = (sqrt3-1)/(sqrt3+1) and ab=1 , then find (a^3 + b^3)

    Text Solution

    |

  11. If a = (sqrt3+1)/(sqrt3-1) and ab=1 , then find (a^(2) + ab + b^(2))

    Text Solution

    |

  12. If a = (sqrt5 +1 )/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then deter...

    Text Solution

    |

  13. If x = (2sqrt15)/(sqrt5 + sqrt3) then evaluate (x+sqrt3)/(x-sqrt3) +...

    Text Solution

    |

  14. If x= (sqrt5+1)/(sqrt5-1) and x = 1/y then find the value of (3x^(...

    Text Solution

    |

  15. If a = (sqrt5 +1)/(sqrt5-1) and b = (sqrt5-1)/(sqrt5+1) then find the...

    Text Solution

    |

  16. If x= 1/(2+sqrt3) and y = 1/(2-sqrt3) then evalue (1/(x+1) + 1/(y...

    Text Solution

    |

  17. Prove that sqrtx/(sqrtx +sqrty) + sqrty/(sqrtx-sqrty) + (2sqrt(xy))/(...

    Text Solution

    |

  18. Prove that 1/(1+sqrt2) + 1/(sqrt2 +sqrt3) + 1/(sqrt3+sqrt4) + 1/(sqrt4...

    Text Solution

    |