Home
Class 10
MATHS
Solve:x(x+y+z)=6, y(x+y+z)=12,z(x+y+z)...

Solve:x(x+y+z)=6,
`y(x+y+z)=12,z(x+y+z)=18`

A

x=0

B

x=-2

C

x=3

D

x=`pm1`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|270 Videos

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|321 Videos

Similar Questions

Explore conceptually related problems

If x = a , y = b, z = c is the solution of the system of simultaneous linear equations x + y + z = 4, x- y + z =2, x + 2y + 2z =1, then ab + bc + ca =

Solution of the system of equations (2)/(x)+(3)/(y)+(10)/(z)=4, (4)/(x)-(6)/(y)+(5)/(z)=1, (6)/(x)+(9)/(y)-(20)/(z)=2, (x, y,z)=

The system 2x + 3y + z= 5, 3x + y + 5z =7, x + 4y -2z=3 has

Add the product: x(x+y-r),y(x-y+r),z(x-y-z)

By using Cramer's solve x+y+z=9,2x+5y+7z=52,2x+y-z=0

By Matrix inverse method, solve 3x+4y+5z = 18, 2x-y+8z=13, 5x-2y+7z = 20 .

Solve the following- system of equations, 2x + 5y + 6z = 0, x - 3y + 8z = 0, 3x + y - 4z = 0

VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)
  1. 2x^2+3x-1=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  2. 3x^2-5x+2=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  3. x^2+px+q=0 is a quadratic equation, the roots are alpha,beta then alph...

    Text Solution

    |

  4. The quadratic equation whose roots are reciprocal of the roots of the ...

    Text Solution

    |

  5. IF a gt0 then the minimum value of 3x^2+4x+1 is…….

    Text Solution

    |

  6. If x gt 0, then the minimum value of 11/3+5(x-7/2)^2 is………

    Text Solution

    |

  7. Examine 3y^2-8xy-3x^2-29x+3y-18 is re-solvable into two linear factors...

    Text Solution

    |

  8. Solve:x(x+y+z)=6, y(x+y+z)=12,z(x+y+z)=18

    Text Solution

    |

  9. The area of a rectangular plot is 528m^2. The length of the plot is on...

    Text Solution

    |

  10. IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

    Text Solution

    |

  11. IF one root of x^2-x-k=0 is square that of the other, then k=………

    Text Solution

    |

  12. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

    Text Solution

    |

  13. IF alpha^2=5alpha-6,beta^2=5beta-6, alpha ne beta then the equation wh...

    Text Solution

    |

  14. sqrt(a+sqrt(a+sqrt(a+......infty)))=........

    Text Solution

    |

  15. If the sum of a number and its reciprocal is 17/4, then that number is...

    Text Solution

    |

  16. IF 3 is one root of x^2+kx-24=0 then k=……….

    Text Solution

    |

  17. IF the roots of kx^2+x(k-1)+(k-1)=0 are equal, then k=……….

    Text Solution

    |

  18. The roots of 2x^2-3x+5=0 are

    Text Solution

    |

  19. The condition that the roots of ax^2+bx+c=0 may be in the ratio m:n is...

    Text Solution

    |

  20. The equation whose roots are greater by 1 than those of 2x^2+3x+5=0.

    Text Solution

    |