Home
Class 14
MATHS
If x = sqrt5 + sqrt3 and y = sqrt5 - sqr...

If `x = sqrt5 + sqrt3 and y = sqrt5 - sqrt3,` then the value of `x ^(4) - y ^(4)` is

A

544

B

`32 sqrt15`

C

`64 sqrt15`

D

16

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2013 TIER-II PAPER(21)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2014 TIER-II PAPER(19)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

If x =1 + sqrt2 + sqrt3 and y =1 + sqrt2 - sqrt3, then the value of (x ^(2) + 4xy + y ^(2))/(x + y) is:

If x=3sqrt(5)+2sqrt(2) and y=3sqrt(5)-2sqrt(2) , then the value of (x^(2)-y^(2))^(2) is

CHAMPION PUBLICATION-2014 TIER-II PAPER(18)-EXERCISE
  1. If (a)/(b+c)=(b)/(c+a)=(c)/(a+b) and a+b+cne0 then the value of (b)/(a...

    Text Solution

    |

  2. If a = 2 + sqrt3, then the value of (a ^(6) + a ^(4) + a ^(2) + 1)/(a ...

    Text Solution

    |

  3. If x = sqrt5 + sqrt3 and y = sqrt5 - sqrt3, then the value of x ^(4) -...

    Text Solution

    |

  4. If x + y + z = 6 then the value of ( x - 1) ^(3) + ( y - 2) ^(3) +...

    Text Solution

    |

  5. If bc + ab + ca = ab,c then the above of (b +c)/( bc (a - 1)) + (a + ...

    Text Solution

    |

  6. The graph of 3 x + 4y - 24 = 0 forms a triangle OAB with the coor...

    Text Solution

    |

  7. If (a ^(2) - b c)/( a ^(2 ) + bc)+ (b ^(2) -ca)/( b ^(2) + ca) + (c ^(...

    Text Solution

    |

  8. If p^(4) = 119 - (1)/( p^(4)) then the value of p^(3) - (1)/( p^(3))...

    Text Solution

    |

  9. The sum of the internal angles of a regular polygon is 1440^(@). The n...

    Text Solution

    |

  10. ABCD is a regular trapezium in which AD || BC Diagonal AC and BD inter...

    Text Solution

    |

  11. The distance between the centres of two circles having radii 8 cm and ...

    Text Solution

    |

  12. Chords PQ and RS of a circle, when produced, meet at a point O. If PQ ...

    Text Solution

    |

  13. The point of intersection for the diagonals AC and BD of the cyclic qu...

    Text Solution

    |

  14. Three circles of radius 6 cm touches each other externally. Then the d...

    Text Solution

    |

  15. In Delta ABC, AB = AC, O is a point on BC such that BO = CO and OD is ...

    Text Solution

    |

  16. In an isosceles triangle, if the unequal angle is twice the sum of the...

    Text Solution

    |

  17. ‘O' is the orthocentre of triangle ABC.Then angle BOC +angle BAC is eq...

    Text Solution

    |

  18. In triangle ABC , the bisector of angle BAC intersects BC at D and the...

    Text Solution

    |

  19. If sec theta-cos theta = 3/2 where theta is a positive acute angle. th...

    Text Solution

    |

  20. tan(5x-10^(2))=cot(5y+20^(@)) then value of (x+y) is

    Text Solution

    |