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

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

A

2

B

1

C

0

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|78 Videos

  • MATRICES AND DETERMINANTS

    VMC MODULES ENGLISH|Exercise Numerical ValueType for JEE Main|15 Videos

  • JEE MAIN REVISON TEST-23

    VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos

  • MOCK TEST 1

    VMC MODULES ENGLISH|Exercise PART III : MATHEMATICS (SECTION-2)|10 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 value of a for which the system of linear equations ax+y+z=0, ay+z=0,x+y+z = 0 possesses non-trivial solution is

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

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

The values of k for which the system of equations kx+y+z=0,x-ky+z=0 and x+y+z=0 possesses non-trivial solution. Are

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

For what value(s) of k, the pair of linear equations -2x + 5y = 0 and kx + 3y = 0 has a non-zero solutions?

The real value of k for which the system of equation 2k x-2y+3z=0, x+ky+2z=0, 2x+kz=0 has non-trivial solution is

The value of k for which the set of equations 3x+ky-2z=0, x + ky + 3z = 0 and 2x+3y-4z=0 has non-trivial solution is (A) 15 (B) 16 (C) 31/2 (D) 33/2

The number of real values of for which the system of linear equations 2x+4y- lambdaz =0 , 4x+lambday +2z=0 , lambdax + 2y+2z=0 has infinitely many solutions , is :

VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
  1. Let A=((1,0,0),(2,1,0),(3,2,1)). If u(1) and u(2) are column matrices ...

    Text Solution

    |

  2. Let P and Q be 3xx3 matrices P ne Q. If P^(3)=Q^(3) and P^(2)Q=Q^(2)P,...

    Text Solution

    |

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

    Text Solution

    |

  4. Let A and B two symmetric matrices of order 3. Statement 1 : A(BA) a...

    Text Solution

    |

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

    Text Solution

    |

  6. Statement-1:Determination of a skew-symmetric matrix of order 3 is zer...

    Text Solution

    |

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

    Text Solution

    |

  8. Consider the system of linear equations: x(1) + 2x(2) + x(3) = 3 2...

    Text Solution

    |

  9. The number of 3 x 3 non-singular matrices, with four entries as 1 and ...

    Text Solution

    |

  10. Let a be a 2xx2 matrix with non-zero entries and let A^(2)=I, where I ...

    Text Solution

    |

  11. Let a,b,c be such that b(a+c) ne 0. If |{:(a,a+1,a-1),(-b,b+1,b-1)...

    Text Solution

    |

  12. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  13. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identity...

    Text Solution

    |

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

    Text Solution

    |

  15. Let A be a square matrix all of whose entries are integers. Which on...

    Text Solution

    |

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

    Text Solution

    |

  17. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

    Text Solution

    |

  18. If A and B f are square matrices of size nxxn such that A^(2) - B^(2...

    Text Solution

    |

  19. Let A =((1,2),(3,4))and B= ((a,0),(0,b)), a, bin N. Then,

    Text Solution

    |

  20. If A is a square matrix such that A^2-A+l=0, then the inverse of A is

    Text Solution

    |