Home
Class 12
MATHS
Examine the consistency of the following...

Examine the consistency of the following system of equation
x+y+z=1
2x +3y+2z =2
ax +ay +2az =4

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    V PUBLICATION|Exercise QUESTION BANK|168 Videos

  • DIFFERENTIAL EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|149 Videos

Similar Questions

Explore conceptually related problems

Examine the consistency of the following system of equation x+2y=12 2x+3y =3

Examine the consistency of the following system of equation x+3y =5 2x+6y=8

Examine the consistency of the following system of equation 2x-y =5 x+y=4

Examine the consistency of the following system of equation 5x-y+4z=5 2x+3y+5z=2 5x -2y+6z =-1

Examine the consistency of the system of Equations. 5x+3y=5 , 2x+6y=8

Examine the consistency of the system of equations 5 x-y+4z=5 , 2 x+3 y+5 z=2, 5 x-2 y+6 z=-1

Solve the following system of equations 3x-2y+3z=8 , 2x+y-z=1 , 4x-3y+2z=4

Check the consistency of the following equations, 2x+3y+z=6 , x+2y-z=2 , 7x+y+2z=10

Examine the consistency of system of following equations: 5x-6y+4z=15 7x+y-3z=19 2x+y+6z=46

Solve the following system of linear equations. x+y+z=3 , y-z=0 , 2x-y=1

V PUBLICATION-DETERMINANT-QUESTION BANK
  1. Examine the consistency of the following system of equation 2x-y =5 ...

    Text Solution

    |

  2. classify the following system of equations as consistent or inconsiste...

    Text Solution

    |

  3. Examine the consistency of the following system of equation x+y+z=1 ...

    Text Solution

    |

  4. Examine the consistency of the system of equations 5 x-y+4z=5 , 2 x+3 ...

    Text Solution

    |

  5. Solve the following system of linear equations using matrix method. 5x...

    Text Solution

    |

  6. Solve the following system of linear equations using matrix method. 2x...

    Text Solution

    |

  7. Solve the following system of linear equations using matrix method. 4x...

    Text Solution

    |

  8. Solve the following system of linear Equations,using matrix method, ...

    Text Solution

    |

  9. Solve the system of equations using matrix method. 2 x+y+z=1 , x-2 y-z...

    Text Solution

    |

  10. LetA=[[1,-1,1],[2,1,-3],[1,1,1]] Using A^-1 solve the system of eq...

    Text Solution

    |

  11. If A=[[2 , -3 , 5],[ 3, 2, -4],[ 1, 1, -2]], find A^(-1) . Using...

    Text Solution

    |

  12. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs. 60 . The cost ...

    Text Solution

    |

  13. If a, b, c are positive and unequal show that value of the determinant...

    Text Solution

    |

  14. Show that Delta=|[(y+z)^2, x y , z x],[ x y, (x+z)^2, y z],[ x z...

    Text Solution

    |

  15. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

    Text Solution

    |

  16. Prove that Delta=|[a+b x, c+d x, p+q x],[ a x+b, c x+d, p x+q],[ ...

    Text Solution

    |

  17. Prove that |[x,sintheta, costheta],[-sintheta,-x,1],[costheta,1,x]| is...

    Text Solution

    |

  18. Without expanding the determinant, Prove that |[a,a^2, bc],[b,b^2,ca...

    Text Solution

    |

  19. Evaluate |[cos alpha cos beta, cos alpha sin beta, -sin alpha],[ -s...

    Text Solution

    |

  20. If a,b,c are real numbers and abs[[b+c,c+a,a+b],[c+a,a+b,b+c],[a+b,b+...

    Text Solution

    |