Home
Class 14
MATHS
If x+y+z = 2, xy+yz+zx = -11 and xyz = -...

If x+y+z = 2, xy+yz+zx = -11 and xyz = -12, then what is the value of `sqrt(x^3+y^3+z^3-2)`= ?
यदि x+y+z = 2, xy+yz+zx = -11 है तथा xyz = -12 है, तो `sqrt(x^3+y^3+z^3-2)` का मान क्या होगा ?

A

6

B

12

C

9

D

8

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • 2018 Main Exam 2nd Shift

    PINNACLE|Exercise EXERCISE|280 Videos
  • AVERAGE

    PINNACLE|Exercise EXERCISE|164 Videos

Similar Questions

Explore conceptually related problems

If x+y +z =10, xy +yz +zx =25 and xyz =100 then what is the value of (x^(3)+y^(3) +z^(3)) ?

If x^2+y^2+z^2=133 ,xy +yz + zx = 114 and xyz = 216, then the value of x^3+y^3+z^3 is: यदि x^2+y^2+z^2=133 है, xy +yz + zx = 114 है तथा xyz = 216 है, तो x^3+y^3+z^3 का मान क्या होगा ?

If (x + y + z) = 12, xy + yz + zx = 44 " and " xyz = 48 , then what is the value of x^(3) + y^(3) + z^(3) ?

If x+y+z = 3 and x^2+y^2+z^2=101 , then what is the value of sqrt(x^3+y^3+z^3- 3xyz) ? यदि x+y+z = 3 तथा x^2+y^2+z^2=101 है, तो sqrt(x^3+y^3+z^3- 3xyz) का मान क्या होगा ?

If x+y+z=6, xyz=-10 and x^2+y^2 +z^2 =30 , then what is the value of (x^3+y^3+z^3) ? यदि x+y+z=6, xyz=-10 तथा x^2+y^2 +z^2 =30 है, तो (x^3+y^3+z^3) का मान क्या होगा?

If x + y + z = 19 , xyz = 216 and xy + yz + zx = 114, then the value of sqrt(x^3+y^3+z^3+ xyz) is : यदि x + y + z = 19 , xyz = 216 और xy + yz + zx = 114 है, तो sqrt(x^3+y^3+z^3+ xyz) का मान क्या होगा ?

If x + y + z = 19, xy + yz + zx = 114, then the value of sqrt(x^3+y^3+z^3-3xyz) is: यदि x + y + z = 19, xy + yz + zx = 114 है, तो sqrt(x^3+y^3+z^3-3xyz) का मान क्या होगा ?

PINNACLE-ALGEBRA-EXERCISE
  1. Three fractions, x,y and z, are such that x succ y succ z. When the sm...

    Text Solution

    |

  2. If x+1/(16x)=3, then the value of 16x^3+ 1/(256x^3) is: यदि x+1/(16...

    Text Solution

    |

  3. If x+y+z = 2, xy+yz+zx = -11 and xyz = -12, then what is the value of ...

    Text Solution

    |

  4. If x^4-83x^2+1=0, then the value of x^3- x^-3 can be : यदि x^4-83x...

    Text Solution

    |

  5. If (5x+1)^3+(x-3)^3+8 (3x-4)^3= 6(5x+1) (x-3)(3x-4), then x is equal t...

    Text Solution

    |

  6. If 8x^3-27y^3= (Ax+By)(Cx^2-Dy^2+6xy) , then (A+B+C-D) is equal to : ...

    Text Solution

    |

  7. If x=(sqrt5- sqrt3)/(sqrt5+ sqrt3) and y is the reciprocal of x, then ...

    Text Solution

    |

  8. If sqrt(10-2 sqrt21)+ sqrt(8+2 sqrt15)= sqrta+ sqrt b, where a and b a...

    Text Solution

    |

  9. ab(a-b)+bc(b-c)+ca(c-a) is equal to : ab(a-b)+bc(b-c)+ca(c-a) किसके ...

    Text Solution

    |

  10. Given that (5x-3)^3+(2x+5)^3+27 (4-3x)^3 =9(3-5x)(2x+5)(3x-4) ,then th...

    Text Solution

    |

  11. If 5 sqrt5 x^3+2 sqrt2 y^3 =(Ax+ sqrt2 y) (Bx^2+2y^2+Cxy), then the va...

    Text Solution

    |

  12. If (3(x^2+1)-7x)/(3x)=6, x ne 0 then the value of sqrtx+1/sqrtx is: ...

    Text Solution

    |

  13. Let a,b and c be the fractions such that a prec b prec c. If c is div...

    Text Solution

    |

  14. Let x= root(6)(27)- sqrt(6 3/4) and y= (sqrt 45+ sqrt 605+ sqrt 245)/(...

    Text Solution

    |

  15. If x+y+z=6, xyz=-10 and x^2+y^2+z^2=30, then what is the value of (x^3...

    Text Solution

    |

  16. If x^(2a)=y^(2b)=z^(2c) ne 0 and x^2=yz , then the value of (ab+bc+ca)...

    Text Solution

    |

  17. If x - y = 4 and xy = 45, then the value of x^3-y^3 is : यदि x - y =...

    Text Solution

    |

  18. If x, y and z are three integers such that x + y = 8, y + z = 13 and z...

    Text Solution

    |

  19. The expression (a+b-c)^3+(a-b+c)^3- 8a^3 is equal to: व्यंजक (a+b-c)...

    Text Solution

    |

  20. If x^4+x^2y^2+y^4=21 and x^2+xy+y^2= 7, then the value of (1/x^2+1/y^2...

    Text Solution

    |