Home
Class 11
MATHS
The values of lamda for which the system...

The values of `lamda` for which the system of equations `x+y-3=0, (1+ lamda)x+(2+lamda)y-8=0, x-(1+lamda)y+(2+lamda)=0` is consistent are

A

`-5//3,1`

B

`2//3,-3`

C

`-1//3,-3`

D

0,1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - PRACTICE EXERCISE|15 Videos

  • MATRICES

    AAKASH SERIES|Exercise LINEAR EQUATIONS - EXERCISE - I|24 Videos

  • MATHEMATICAL INDUCTION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) LEVEL-I (Principle of Mathematical Induction) (Straight Objective Type Questions)|55 Videos

  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos

Similar Questions

Explore conceptually related problems

If the system of equations x+y+z=6, x+2y+lamdaz=0, x+2y+3z=10 has no solution then lamda=

If the system of equation x+y=6,x+2y+lamdaz=0, x+2y+3z=0 has no solution then lamda=

The number of distinct real values of lamda for which the lines (x-1)/(1) = (y-2)/(2) = (z +3)/( lamda ^(2)) and (x-3)/(1) = (y-2)/(lamda ^(2)) = (z-1)/(2) are coplanar is

If the system of equations 2x-3y+4z=0, 5x-2y-z=0 and 21x-8y+lamdaz=0 has non trival solution lamda is

alpha , beta are roots of the equation lamda (x^2-x)+x+5=0 If lamda_2 are the two values of lamda for which the roots alpha , beta are connceted by the relation ( alpha ) /( beta ) +( beta) /( alpha )=4 , then the value of ( lamda _1)/( lamda _2) +(lamda _2)/( lamda_1) is

If the system of equations 3x-2y+z=0, lamdax-14y+15z=0,x+2y-3z=0 have non zero solution zero lamda=

If the system of equation 3x-2y+z=0, lamda-14y=15z=0,x+2y+3z=0 has non trivial solutioin, then lamda=

If the system of equations x+2y+z=12,3x+y+2z=5,2x+lamday+2z=18 has nontrivial solution then lamda=

AAKASH SERIES-MATRICES -LINEAR EQUATIONS - EXERCISE - II
  1. The equation x+y+z=6, x+2y+3z=10, x+2y+lamdaz=mu have unique solution ...

    Text Solution

    |

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

    Text Solution

    |

  3. If the system of equations x+2y+3z=lamdax,3x+y+2z=lamday,2x+3y+z=lamda...

    Text Solution

    |

  4. By eliminating a,b,c from the Homogeneous Equations x=(a)/(b-c),y=(b)/...

    Text Solution

    |

  5. The system of equations x+y+z=6, x+2y+3z=10,x+2y+lamdaz=mu is inconsis...

    Text Solution

    |

  6. The rank of [(1,-1,1,1),(-1,1,1,2),(1,1,-1,3)] is

    Text Solution

    |

  7. If a,b,c are all different and the equations ax+a^(2)y+(a^(3)+1)z=0, b...

    Text Solution

    |

  8. The values of lamda for which the system of equations x+y-3=0, (1+ lam...

    Text Solution

    |

  9. The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

    Text Solution

    |

  10. The system of equations -2x+y+z=a,x-2y+z=b,x+y-2z=c is consistent if

    Text Solution

    |

  11. The rank of [(1,0,2),(0,1,-2),(1,-1,4),(2,2,8)] is

    Text Solution

    |

  12. If the matrix A=[(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,alpha)] is of ra...

    Text Solution

    |

  13. The rank of the matrix [(-1,2,5),(2,-4,a-4),(1,-2,a+1)] is

    Text Solution

    |

  14. If the system of equations (k+1)^(3)x+(k+2)^(3)y=(k+3)^(2),(k+1)x+(k+2...

    Text Solution

    |

  15. Statement - I The soluton of the system of equations 2x-y+3z=9,x+y+z=...

    Text Solution

    |

  16. Statement I : Rank of a matrix is defined for only square matrices ...

    Text Solution

    |

  17. Match the following from List - I to List - II {:(,"List - I",,"List...

    Text Solution

    |

  18. the system of equations x+y+z=4,2x+5y-2z=3,x+7y-7z=5 has no solution.

    Text Solution

    |

  19. Consider the system of equations ax + by + cz = 2 bx + cy + az = 2...

    Text Solution

    |

  20. The equation x-y+2z=4,3x+y+4z=6, x+y+z=1 have

    Text Solution

    |