Home
Class 12
MATHS
If the system of linear equations x+2...

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

Text Solution

Verified by Experts

The correct Answer is:
`0.04`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE /JEE Main Papers|71 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise EXERCISE ( LEVEL -2 ) ( single Correct Answer Type Questions)|17 Videos
  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 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

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

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

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 x-ky-z=0 , kx-y-z=0 , x+y-z=0 has a non-zero solution , then possible values of k are :

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 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

MCGROW HILL PUBLICATION-MATRICES-EXERCISE (Numerical Answer Type Questions)
  1. A = ((2.1,2.5,3.7),(-2.1,5.9,3.8),(0,-2.9,-3)),B=((cosalpha,sinalpha,0...

    Text Solution

    |

  2. Sum of the values of t in C for which the matrix ((1+t,3,2),(2,5,t),(4...

    Text Solution

    |

  3. If the system of linear equations given by x+y+z=3 2x+y-z=3 x+y-...

    Text Solution

    |

  4. Suppose A and B are two 3xx3 matrices then det [(A-A) + (B-B)] =

    Text Solution

    |

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

    Text Solution

    |

  6. Suppose (alpha,beta,gamma) lie on the plane 2x+y+z=1 and [alpha,beta,g...

    Text Solution

    |

  7. Let A = [(-1,2,0),(3,1,5),(-1,2,-1)] then det ((1)/(10)adj (adj A))=

    Text Solution

    |

  8. Suppose p , q,r in R pqr ne 0. Let A= ((0,2q,r),(p,q,-r),(p,-q,r)) I...

    Text Solution

    |

  9. Suppose a in R and a ne 0 . Let P =[(1,0,0),(a,1,0),(a^(2),a,1)] and...

    Text Solution

    |

  10. Suppose [(1,1),(0,1)][(1,2),(0,1)][(1,3),(0,1)]cdots[(1,n),(0,1)]=[(...

    Text Solution

    |

  11. Let A be a 2xx2 matrix such that det(A^(2)+4I(2))=0 then det(A) + ...

    Text Solution

    |

  12. Suppose a ,b,c gt=0 and ((a+1)(b+1))/((a+2)(b+2))+((b+1)(c+1))/((b+...

    Text Solution

    |

  13. Let A = ((a,b),(c,d)) ,a,b,c,d in R , a+d ne 4 . If A satisfies A^(2)-...

    Text Solution

    |

  14. Suppose sum(n=1)^(oo)(1)/((n+2)sqrt(n)+nsqrt(n+2))=(sqrt(b)+sqrt(c))/(...

    Text Solution

    |

  15. Suppose A = (a(ij))(3xx3) be a symmetric matrix . If S = {a(ij) 1 lt=...

    Text Solution

    |

  16. Let A =((a,b),(c,d)) ,a,b,c,d in R . Suppose there exists x(1),x(2) in...

    Text Solution

    |

  17. Let A be an upper triangular 3xx3 real matrices such that det (A) =0 d...

    Text Solution

    |

  18. Let A and B be two 3xx3 real matrices such that AB = BA and det (A^(2)...

    Text Solution

    |

  19. Let A = ((a,b),(c,d)) ,a,b,c,d in R , a+d ne 7. If n is the number o...

    Text Solution

    |

  20. Let A be a 3xx3 matrix such that (A-2.2I(3))(A-3.8 I(3))=O(3xx3) then ...

    Text Solution

    |