Home
Class 14
MATHS
If a=(sqrt3+ sqrt2)/(sqrt3- sqrt2) and b...

If `a=(sqrt3+ sqrt2)/(sqrt3- sqrt2)` and `b=(sqrt3- sqrt2)/(sqrt3+sqrt2)`, then what is the value of `a^2+b^2-ab`?

A

A)97

B

B)`(2 sqrt3)+2`

C

C)`(4 sqrt6)+1`

D

D)98

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2017 TIER-II PAPER(10)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

  • 2017 TIER-II PAPER(12)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

(2sqrt3 + sqrt2)(2sqrt3-sqrt2)

If a= (sqrt3 - sqrt2)/(sqrt3 + sqrt2), b = (sqrt3 + sqrt2)/(sqrt3 - sqrt2) then what is the value of a^2/b+b^2/a ?

If x=(sqrt3+sqrt2)/(sqrt3-sqrt2)andy=(sqrt3-sqrt2)/(sqrt3+sqrt2) then find the value of x^(2)+y^(2) ?

If a=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)),b=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2)) then the value of a+b is

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

[(sqrt3 + sqrt2 )/(sqrt3 - sqrt2) - (sqrt3 - sqrt2)/(sqrt3 + sqrt2)] simplifies to

CHAMPION PUBLICATION-2017 TIER-II PAPER(11)-EXERCISE
  1. M is the largest three digit number which when divided by 6 and 5 leav...

    Text Solution

    |

  2. Which of the following statement (s) is / are TRUE ? I. sqrt(5)+sqrt...

    Text Solution

    |

  3. If a=(sqrt3+ sqrt2)/(sqrt3- sqrt2) and b=(sqrt3- sqrt2)/(sqrt3+sqrt2),...

    Text Solution

    |

  4. If the difference between the roots of the equation Ax^(2) - B x +...

    Text Solution

    |

  5. alpha and beta are the roots quadratic equation . If alpha + beta...

    Text Solution

    |

  6. If a and b are the roots of the equations P x^(2) - q x + R = 0 t...

    Text Solution

    |

  7. If x^(2) - 16 x + 59 = 0 then what is the value of ( x - 6) ^(2) +...

    Text Solution

    |

  8. If A and B are the roots of the equation A x^(2) - A^(2) x + AB = 0...

    Text Solution

    |

  9. alpha and beta are the roots of the quadratic equation x^(2) - x - 1...

    Text Solution

    |

  10. If a + b + c = 9, ab + bc + ca = 26 , a^(3) + b^(3) = 91 , b^(3) + ...

    Text Solution

    |

  11. If x^(3) - 4 x ^(2) + 19 = 6 ( x - 1) then what is the value of [...

    Text Solution

    |

  12. Cost of 8pencils, 5pens and 3erasers is rs.111. Cost of 9pencil, 6pens...

    Text Solution

    |

  13. If 2 x + 3y - 5 z = 18 , 3 x + 2y + z = 29 and x + y + 3z = 17 then ...

    Text Solution

    |

  14. PQR is an equllateral triangle whose side is 10 cm. What is the value ...

    Text Solution

    |

  15. What is the area (in cm^2) of the circumcircle of a triangle whose sid...

    Text Solution

    |

  16. In the given figure, MNOP is a parallelogram. PM is extended to Z. OZ ...

    Text Solution

    |

  17. ABCD is a trapezium in which AB is parallel to CD and AB = 4 (CD). The...

    Text Solution

    |

  18. In the given figure, ABC is an equilateral triangle. Two circles of ra...

    Text Solution

    |

  19. In the given figure, SX is tangent. SX = OX = OR. If QX = 3cm and PQ =...

    Text Solution

    |

  20. PAB and PCD are two secants to a circle. If PA = 10 cm, AB = 12 cm and...

    Text Solution

    |