Home
Class 12
MATHS
If the system of linear equations x-4y+7...

If the system of linear equations `x-4y+7z=g`, `3y-5z=h`, `-2x+5y-9z=k` is consistent, then (a) `g+2h+k=0` (b) `g+h+2k=0` (c) `2g+h+k=0` (d) `g+h+k=0`

A

g + h + k =0

B

2g +h +k =0

C

g +h +2k =0

D

g +2h+k =0

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|20 Videos

  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos

Similar Questions

Explore conceptually related problems

For what value of k, the system of linear equations x-3y+kz=0, 2x+y+3z=-1, 3x-2y+2z=1 has a unique solution? a) K=1 b)k!=1 c) K!=-1 d) K=0

if the system of equations x+y+z=0 , x+3y+k^2z=0 and x+2y+z=0 have a non zero solution then value of y+(x/z) is

The equations x+y-2z=0,2x-3y-z=0,x-5y+4z=k have non-zero solutions if k=

If the system of linear equations x + y + 3z = 0 x + 3y + k^2 z = 0 3x + y + 3z = 0 has a non -zero solution (x, y, -z) for some k in R then x + (y/z) is equal to :

The number of solution of the system of equations: 2x+y-z=7x-3y+2z=1, is 3x+2y+kz=4 has a unique solution if k!=0 (b) -1

Solve the following systems of linear homogenous equations : 3x+2y+7z=0 , 4x-3y-2z=0 and 5x+9y+23z=0

If (h,k,1) is the solution of 2x+3y+z=9,x+2y+3z=6 and 3x+y+2z=8 then h+k+l=

The number of value of k for which the linear equations 4x+k y+2z=0k x=4y+z=0 2x+2y+z=0 posses a non-zero solution is- a. 1 b. \ zero c. \ 3 d. 2

A solution set of the equations x-3y-8z+10=0,3x+y-4z=0, 2x+5y+6z=13 is (A)(2K+1,3-2K,K) (B) (2K-1,3+2K,K) (C) (1-2K,3-2K,K) (D) (2K-1,3-2K,K)

From the two systems of line x-h=0, h=0,1,2,3,4,5 and y-k=0, k=0,1,2,3 the number of squares that can be formed is

MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
  1. If A=[(costheta, -sin theta ),(sin theta, cos theta) ] , then the ma...

    Text Solution

    |

  2. A = [{:(e^(t), e^(-t)"cos"t, e^(-t)"sin"t),(e^(t),-e^(-t)"cos"t-e^(...

    Text Solution

    |

  3. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

    Text Solution

    |

  4. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

    Text Solution

    |

  5. The number of possible value of theta lies in (0,pi), such that system...

    Text Solution

    |

  6. Let A=|{:(,0,21,r),(,p,q,-r),(,p,-q,r):}|=A A^(T)=I(3) then |p| is

    Text Solution

    |

  7. If the system of linear equations 2x + 2y +3z =a 3x - y +5z =b x...

    Text Solution

    |

  8. Let A and B be two invertible matrices of order 3 xx 3. If "det"(ABA^(...

    Text Solution

    |

  9. An ordered pair (alpha, beta) for which the system of linear equations...

    Text Solution

    |

  10. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

    Text Solution

    |

  11. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  12. The greatest value of c in R for which the system of linear equations ...

    Text Solution

    |

  13. Let A = [{:("cos"alpha, -"sin"alpha), ("sin"alpha, "cos"alpha"):}], (a...

    Text Solution

    |

  14. If the system of linear equations x-2y + kz = 1, 2x + y+ z = 2, 3x-y...

    Text Solution

    |

  15. If [{:(1, 1), (0,1):}]*[{:(1, 2), (0,1):}]*[{:(1, 3), (0,1):}]cdotcdot...

    Text Solution

    |

  16. The total number of matrices A = [{:(0, 2y, 1), (2x, y, -1), (2x, -y,...

    Text Solution

    |

  17. If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y...

    Text Solution

    |

  18. If the system of linear equations x + y + z = 5 x + 2y + 2z = 6 ...

    Text Solution

    |

  19. Let lambda be a real number for which the system of linear equations ...

    Text Solution

    |

  20. If A is a symmetric matrix and B is a skew-symmetric matrix such that ...

    Text Solution

    |