Home
Class 14
MATHS
If x=(sqrt2+1)/(sqrt2-1)andx-y=4sqrt2 th...

If `x=(sqrt2+1)/(sqrt2-1)andx-y=4sqrt2` then the value of `(x^(2)+y^(2))` is

A

34

B

38

C

30

D

32

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SIMPLIFICATION

    ARIHANT SSC|Exercise HIGHER SKILL LEVEL QUESTIONS|21 Videos
  • SIMPLIFICATION

    ARIHANT SSC|Exercise MULTI CONCEPT QUESTIONS|2 Videos
  • SIMPLE INTEREST

    ARIHANT SSC|Exercise (EXERCISE-C)(HIGHER SKILL LEVEL QUESTION)|16 Videos
  • SPEED, TIME AND DISTANCE

    ARIHANT SSC|Exercise HIGHER SKILL LEVEL QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

If x=1+sqrt(2) and y=1-sqrt(2), find the value of (x^(2)+y^(2))

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

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

ARIHANT SSC-SIMPLIFICATION-EXERCISE BASE LEVEL QUESTIONS
  1. If a+b+c=0, then the value of ((a+b)/(c)+(b+c)/(a)+(c+a)/(b)) ((a)/(...

    Text Solution

    |

  2. If a*b=a+b+(a)/(b) then the value of 12*4 is

    Text Solution

    |

  3. If x=(sqrt2+1)/(sqrt2-1)andx-y=4sqrt2 then the value of (x^(2)+y^(2)) ...

    Text Solution

    |

  4. If x+(a)/(x)=b then the value of (x^(2)+bx+a)/(bx^(2)-x^(3)) is

    Text Solution

    |

  5. If sqrt(28-6sqrt3)=sqrt3a+b (where a, b are rationals), value of (a+b)...

    Text Solution

    |

  6. If x+y=1 then the value of (x^(3)+y^(3)+3xy) is

    Text Solution

    |

  7. If x = (sqrt2-1 ) ^(-(1)/(2)) then the value of (x ^(2) - (1)/(x ^(2))...

    Text Solution

    |

  8. If x=(sqrt(3)+1)/(sqrt3-1)andy=(sqrt3-1)/(sqrt3+1),"then "x^(2)+y^(2) ...

    Text Solution

    |

  9. 10. If p+ q= 10 and pq= 5, then the numerical value of p/q + q/p will ...

    Text Solution

    |

  10. If x+y=18 and xy=72, what is the vlaue of x^(2)+y^(2)?

    Text Solution

    |

  11. ((m-n)^(3)+(n-r)^(3)+(r-m)^(3))/(6(m-n)(n-r)(r-m))=?

    Text Solution

    |

  12. If a+b+c=14anda^(2)+b^(2)+c^(2)=96 then (ab+bc+ca)=?

    Text Solution

    |

  13. (1/(1xx4)+1/(4xx7)+1/(7xx10)+1/(10xx13)+1/(13xx16))=?

    Text Solution

    |

  14. (1-(1)/(2))(1-(1)/(3))(1-(1)/(4))(1-(1)/(5)).......(1-(1)/(m))=?

    Text Solution

    |

  15. (2- 1/3)(2 - 3/5)(2-5/7).....(2-997/999) is equal to

    Text Solution

    |

  16. The value of (1+(1)/(2))(1+(1)/(3))(1+(1)/(4))......(1+(1)/(150)) is

    Text Solution

    |

  17. If x=sqrt3/2, then the value of (1+x)/(sqrt(1+x)-1)+(1-x)/(1-sqrt(1-x)...

    Text Solution

    |

  18. If a+(1)/(a)=sqrt3 then the value of a^(6)+(1)/(a^(6))+2 will be

    Text Solution

    |

  19. If x+(1)/(x)=2 then (2x^(2)+2)/(3x^(2)+5x+3)

    Text Solution

    |

  20. If a+(1)/(b)=1andb+(1)/(c)=1, then c+(1)/(a)=?

    Text Solution

    |