Home
Class 12
MATHS
If the system of linear equations. ...

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 ENGLISH|Exercise HLP|34 Videos
  • MATRICES & DETERMINANT

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

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

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

Similar Questions

Explore conceptually related problems

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

The system of linear equations x + y + z = 2 2x + y -z = 3 3x + 2y + kz = 4 has a unique solution, if

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

If the system of linear equations x-2y + kz = 1, 2x + y+ z = 2, 3x-y-kz = 3 has a solution (x, y, z), z ne 0 , then (x, y) lies on the straight line whose equation is

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

The system of linear equations x+y+z=2,2x+y-z=3, 3x+2y+kz=4 has a unique solution if

Solve the system of equations 2x+3y-3z=0 , 3x-3y+z=0 and 3x-2y-3z=0

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

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

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

RESONANCE ENGLISH-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 P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

    Text Solution

    |

  5. The number of values of k for which the system of equations (k+1)x+8y=...

    Text Solution

    |

  6. IF P=[(1,alpha,3),(1,3,3),(2,4,4)] is the adjoint of 3xx3 matrix A and...

    Text Solution

    |

  7. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

    Text Solution

    |

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

    Text Solution

    |

  9. If A=[(1,2,2),(2,1,-2),(a,2,b)] is a matrix satisying the equation A A...

    Text Solution

    |

  10. The set of all values of lambda for which the system of linear equ...

    Text Solution

    |

  11. The system of linear equations x+lambday-z=0, lambdax-y-z=0, x+y-lam...

    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 ...

    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...

    Text Solution

    |

  16. if |{:(x-4,,2x,,3x),(2x,,x-4,,2x),(2x,,2x,,x-4):}|=(A+Bx)(x-A)^(2), th...

    Text Solution

    |

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

    Text Solution

    |

  18. If A = [(costheta,-sintheta),(sintheta,costheta)], then the matrix A^(...

    Text Solution

    |

  19. Let d in R, and A[{:(,-2,4+d,(sin theta-2)),(,1,(sin theta)+2,d),(,5,(...

    Text Solution

    |

  20. Let A = ((0,2q,r),(p,q,-r),(p,-q,r)). If A A^(T) = I(3), then |p| is

    Text Solution

    |