Home
Class 12
MATHS
If the system of linear equations x+ky...

If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 has a non-zero solution (x,y,z) then `(xz)/(y^2)` is equal to

A

`-30`

B

30

C

`-10`

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE|Exercise HLP|33 Videos
  • MATRICES & DETERMINANT

    RESONANCE|Exercise EXERCISE-3|31 Videos
  • INDEFINITE INTEGRATION

    RESONANCE|Exercise SELF PRACTIC PROBLEMS|25 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

If the system of linear equations x+ky+3z=03x+ky-2z=02x+4y-3z=0 has a non-zero solution (x,y,z) then (xz)/(y^(2)) is equal to

If the system of equation x+ky+3z=0,3x+ky-2z=0,2x+3y-4z=0 has non trivial solution, then (xy)/(z^2) =

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 :

If the system of equations, 2x + 3y-z = 0, x + ky -2z = 0 " and " 2x-y+z = 0 has a non-trivial solution (x, y, z), then (x)/(y) + (y)/(z) + (z)/(x) + k is equal to

The system of equations: x+ky+3z=0 , 3x+ky-2z=0 , 2x+3y-4z=0 has non- trivial solution. when k=

x+ky-z=0 , 3x-ky-z=0 and x-3y+z=0 has non-zero solution for k=

If the system of equations x-ky+3z=0, 2x+ky-2z=0 and 3x-4y+2z=0 has non - trivial solutions, then the value of (10y)/(x) is equal to

RESONANCE-MATRICES & DETERMINANT-PART-II:
  1. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  2. Statement -1 : Determinant of a skew-symmetric matrix of order 3 is ze...

    Text Solution

    |

  3. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  4. Let P and Q be 3xx3 matrices with P!=Q . If P^3=""Q^3a n d""P^2Q""=""Q...

    Text Solution

    |

  5. The number of values of k, for which the system of eauations: (k+1)x...

    Text Solution

    |

  6. If P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of a 3 x 3 matrix ...

    Text Solution

    |

  7. If alpha,beta!=0 , and f(n)""=alpha^n+beta^n and |3 1+f(1)1+f(2)1+f(1)...

    Text Solution

    |

  8. If A is an 3xx3 non-singular matrix such that AA^'=""A^' A and B""=...

    Text Solution

    |

  9. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

    Text Solution

    |

  10. The set of the all values of lamda for which the system of linear equa...

    Text Solution

    |

  11. The system of linear equations: x+lambday-z=0 lamdax-y-z=0 x+y-l...

    Text Solution

    |

  12. If A=|{:(,5a,-b),(,3,2):}| and A adj A=A A^(T), then 5a+b is equal to

    Text Solution

    |

  13. If S is the set of distinct values of ' b for which the following syst...

    Text Solution

    |

  14. If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to

    Text Solution

    |

  15. If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 ...

    Text Solution

    |

  16. If |(x-4,2x,2x),(2x,x-4,2x),(2x,2x,x-4)|=(A+Bx)(x-A)^2 then the ordere...

    Text Solution

    |

  17. The system of linear equations x + y + z = 2 2x + 3y + 2z = 5 2...

    Text Solution

    |

  18. If A=[(costheta, -sin theta ),(sin theta, cos theta) ] , then the ma...

    Text Solution

    |

  19. Let d in R, and A= [{:(-2, " "4+d,("sin"theta)-2),(1, ("sin"theta)...

    Text Solution

    |

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

    Text Solution

    |