Home
Class 12
MATHS
The system of equations: x+y+z=5, x+2y+...

The system of equations: `x+y+z=5`, `x+2y+3z=9` and `x+3y+lambdaz=mu` has a unique solution, if
(a) `lambda=5,mu=13`
(b) `lambda!=5`
(c)`lambda=5,mu!=13`
(d) `mu!=13`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SCALAR TRIPLE PRODUCT

    RD SHARMA ENGLISH|Exercise All Questions|76 Videos

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|3 Videos

Similar Questions

Explore conceptually related problems

The system of equations: x+y+z=5 x+2y+3z=9 x+3y+lambdaz=mu has a unique solution, if lambda=5,mu=13 (b) lambda!=5 lambda=5,mu!=13 (d) mu!=13

Consider the system of equations x+y+z=6 x+2y+3z=10 x+2y+lambdaz =mu the system has unique solution if (a) lambda ne 3 (b) lambda =3, mu =10 (c) lambda =3 , mu ne 10 (d) none of these

Consider the system of equations x+y+z=6 x+2y+3z=10 x+2y+lambdaz =mu the system has infinite solutions if (a) lambda ne 3 (b) lambda =3,mu =10 (c) lambda =3,mu ne 10 (d) lambda =3,mu ne 10

If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu has infinitely many solutions, then :

Consider the system of equations x+y+z=6 x+2y+3z=10 x+2y+lambdaz =mu The system has no solution if (a) lambda ne 3 (b) lambda =3, mu =10 (c) lambda =3, mu ne 10 (d) none of these

If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + lambda z = mu has more than two solutions. Find (mu -lambda )

If the system of linear equation x+y+z=6,x+2y+3c=14 ,a n d2x+5y+lambdaz=mu(lambda,mu R) has a unique solution, then

If system of equation x + y + z = 6 ,x + 2y + 3z = 10, 3x + 2y + lambda z = mu has more than two solutions. Find (mu -lambda^2 )

If the system of linear equation x+y+z=6,x+2y+3c=14 ,a n d2x+5y+lambdaz=mu(lambda,mu R) has a unique solution, then lambda≠ 8 b. lambda=8,mu=36 c. lambda=8,mu!=36"" d. none of these

The following system of equations 5x-7y+3z=3, 5x+y+3z=7 and 5x+3y+2z=5 is

RD SHARMA ENGLISH-SOLUTION OF SIMULTANEOUS LINEAR EQUATIONS-All Questions
  1. Solve the following system of homogeneous linear equations by matri...

    Text Solution

    |

  2. Solve the following system of homogeneous equations: x+y+z=0 x-2y+z=0...

    Text Solution

    |

  3. Solve the following system of homogeneous linear equations by matri...

    Text Solution

    |

  4. Solve the following system of homogeneous equations: 2x+3y-z=0 x-y-2z...

    Text Solution

    |

  5. If [(1 ,0, 0) ,(0 ,1, 0),( 0 ,0 ,1)][(x),( y),( z)]=[(1),(-1),( 0)] , ...

    Text Solution

    |

  6. If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find ...

    Text Solution

    |

  7. If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , fin...

    Text Solution

    |

  8. Solve [(3 ,-4),( 9 , 2)][(x) ,( y)]=[(10),( 2)] for x\ a n d\ y .

    Text Solution

    |

  9. If [(1,0,0),(0, 0, 1),(0,1,0)][(x),(y),(z)]=[(2),(-1),(3)] , find x ,\...

    Text Solution

    |

  10. If A=[[2, 4 ],[4 ,3]],X=[[n],[1]] , B=[[8], [11]] and A X=B , then fin...

    Text Solution

    |

  11. The system of equation x+y+z=2 , 3x-y+2z=6 and 3x+y+z=-18 has (a) a un...

    Text Solution

    |

  12. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

    Text Solution

    |

  13. Let x=|[x1],[x2],[x3]|,A=|[1,-1, 2], [2,0,1], [3,2,1]| a n d B=|[3], [...

    Text Solution

    |

  14. The number of solutions of the system of equations: 2x+y-z=7 x-3y+2z=...

    Text Solution

    |

  15. The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a uniq...

    Text Solution

    |

  16. |(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)|=0 then the system of equations a1x+...

    Text Solution

    |

  17. Let a ,b , c be real numbers. The following system of equations in x ,...

    Text Solution

    |

  18. For the system of equations: x+2y+3z=1 2x+y+3z=2 5x+5y+9z=4

    Text Solution

    |

  19. The existence of the unique solution of the system x + y + z = lambda,...

    Text Solution

    |

  20. The system of equations: x+y+z=5, x+2y+3z=9 and x+3y+lambdaz=mu has ...

    Text Solution

    |