Home
Class 12
MATHS
The number of values of k for which the ...

The number of values of k for which the linear equations `4x""+""k y""+""2z""=""0` `k x""+""4y""+""z""=""0` `2x""+""2y""+""z""=""0` posses a non-zero solution is : (1) 3 (2) 2 (3) 1 (4) zero

A

3

B

2

C

1

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
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

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

The number of values of k which the linear equations 4x+ky+2z=0 kx+4y+z=0 2x+2y+z=0 Possess a non-zero solution is

The number of values of k for which the linear equations quad kx+ky+2z=0kx+4y+z=02x+2y+z=0 posses a non-zero solution is : (1)3(2)2(3)1 (4) zero

The number of real values of lambda for which the system of linear equations 2x+4y-lambda z=0,4x+lambda y+2z=0,lambda x+2y+2z=0 has infinitely many solutions,is: (A)0(B)1(C)2(D)3

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

What should be the value of k so that the system of linear equations x - y + 2z = 0, kx - y + z = 0, 3x + y - 3z = 0 does not possess a unique solution ?

The value of a for which the system of equations , a^(3)x + (a + 1)^(3) y + (a + 2)^(3) z = 0 , ax + (a + 1) y + (a + 2) z = 0 & x+y+z=0 has a non - zero solution is :

Number of values of k for which the lines k x+y+1=0 x+k y+2=0 x+y+k=0 are concurrent is 3 (2) 2 (3) 1 (4) 0

RESONANCE-MATRICES & DETERMINANT-PART-II:
  1. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  2. Let A and B be two symmetric matrices of order 3. Statement-1 : A(BA) ...

    Text Solution

    |

  3. The number of values of k for which the linear equations 4x""+""k y""+...

    Text Solution

    |

  4. If omega=1 is the complex cube root of unity and matrix H=|{:(,omega,0...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |