Home
Class 12
MATHS
If the trivial solution is the only solu...

If the trivial solution is the only solution of the system of equations
`x-ky + z = 0,`
`kx + 3y-kz=0,`
` 3x + y-z = 0`
Then the set of all values of `k` is:

A

{2,-3}

B

R-{2,-3}

C

R-{2}

D

R-{-3}

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Determinants Exercise 7:|3 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|37 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

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

Use matrix methocd to solve the following system of equations: {:(x-y + z = 4),(2x + y - 3z= 0), (x + y + z =2):}

Solve the following systems of homogenous equations: {:(2x - 3y - z = 0),(x + 3y - 2 z = 0),(x - 3 y = 0):}

Solve the following systems of homogenous equations: {:(x+y +z = 0),(x - y -5z = 0),(x + 2y +4z = 0):}

The system of equations ax-y- z=a-1 ,x-ay-z=a-1,x-y-az=a-1 has no solution if a is:

Solve the following systems of homogenous equations : {:(x+y - z = 0),(x - 2 y + z = 0),(3x + 6y - 5z = 0):}

The system of equation ax − y − z = a − 1 , x − ay − z = a − 1 , x − y − az = a − 1 has no solution if a is,

ARIHANT MATHS-DETERMINANTS -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If a^2+b^2+c^2=-2, and f(x)= |{:(1+a^2x,(1+b^2)x,(1+c^2)x),((1+a^2)x,...

    Text Solution

    |

  2. The value of |alpha| for which the system of equation alphax+y+z=alpha...

    Text Solution

    |

  3. if a(1),a(2),…….a(n),……. form a G.P. and a(1) gt 0 , for all I ge 1 ...

    Text Solution

    |

  4. If D =|{:(1,1,1),(1,1+x,1),(1,1,1+y):}|"for" " "xne0,yne0 then D is

    Text Solution

    |

  5. Consider the system of equations x-2y+3z=-1 -x+y-2z=k x-3y+4z=1 ...

    Text Solution

    |

  6. Let a,b,c, be any real number. Suppose that there are real numbers x,y...

    Text Solution

    |

  7. Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}| =abc (1+(1)/(a)+(1)/(...

    Text Solution

    |

  8. If f(theta)=|{:(1,tantheta,1),(-tantheta,1,tantheta),(-1,-tantheta,1):...

    Text Solution

    |

  9. The number of values of k for which the linear equations 4x+ky+2...

    Text Solution

    |

  10. If the trivial solution is the only solution of the system of equation...

    Text Solution

    |

  11. The number of values of k, for which the system of equations (k""+""...

    Text Solution

    |

  12. If f(n)=alpha^(n)+beta^(n) and |{:(3,1+f(1),1+f(2)),(1+f(1),1+f(2),1+f...

    Text Solution

    |

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

    Text Solution

    |

  14. Which of the following values of alpha satisfying the equation |{:((1+...

    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. The total number of distinct x in R for which |{:(x,,x^(2),,...

    Text Solution

    |

  17. Let a, lambda , mu in R.Consider the system of linear equations ax...

    Text Solution

    |

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

    Text Solution

    |