Home
Class 12
MATHS
The values of k in R for which the syst...

The values of `k in R` for which the system of equations `x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0` admits of nontrivial solution is a. `2` b. `5//2` c. `3` d. `5//4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE ENGLISH|Exercise Multiple Correct Answer|5 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is 2 b. 5//2 c. 3 d. 5//4

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

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

Write the value of k for which the system of equations x+y-4=0 and 2x+k y-3=0 has no solution

Solve the following system of equations 3x - 4y + 5z = 0, x + y - 2z = 0, 2x + 3y + z = 0

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:

The value of k for which the system of equations 3x+5y=0 and k x+10 y=0 has a non-zero solution, is (a) 0 (b) 2 (c) 6 (d) 8

Write the value of k for which the system of equations 3x-2y=0 and k x+5y=0 has infinitely many solutions.

The value of k for which the system of equations x+2y-3=0 and 5x+k y+7=0 has no solution, is (a) 10 (b) 6 (c) 3 (d) 1

CENGAGE ENGLISH-DETERMINANTS-All Questions
  1. Figure shows a wire ring of radius a that is perpendicular to the gene...

    Text Solution

    |

  2. If Deltar =|[2^(r-1) ,2.3^(r-1), 4.5^(r-1)],[alpha,beta,gamma],[2^n-1,...

    Text Solution

    |

  3. The values of k in R for which the system of equations x+k y+3z=0,k x...

    Text Solution

    |

  4. A determinant of second order is made with the elements 0 and 1. Fi...

    Text Solution

    |

  5. For a concave mirror, if real image is formed the graph between (1)/(u...

    Text Solution

    |

  6. Prove that the determinant |[x, sintheta,costheta],[-sintheta,-x,1],[...

    Text Solution

    |

  7. Consider the determinant f(x)=|0x^2-a x^3-b x^2+a0x^2+c x^4+b x-c0|dot...

    Text Solution

    |

  8. Find the value of |[1, 2, 4],[-1,3, 0],[4 ,1, 0]|

    Text Solution

    |

  9. Consider the system of the equation k x+y+z=1,x+k y+z=k ,a n dx+y+k z=...

    Text Solution

    |

  10. If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a ...

    Text Solution

    |

  11. Each question has four choices a, b, c and d, out of which only one is...

    Text Solution

    |

  12. If a ,b ,c in R , then find the number of real roots of the equat...

    Text Solution

    |

  13. Delta = |(a, a^2, 0),(1, 2a+b,(a+b)),(0, 1, 2a+3b)| is divisible by a....

    Text Solution

    |

  14. Without expanding at any stage, prove that the value of each of the...

    Text Solution

    |

  15. If a,b,c are positive and are the pth, qth rth terms respectively of a...

    Text Solution

    |

  16. If the entries in a 3xx3 determinant are either 0 or 1, then the grea...

    Text Solution

    |

  17. The value of the determinant of n^(t h) order, being given by |[x, 1, ...

    Text Solution

    |

  18. Prove that a!=0,|[x+a, x,x],[x,x+a,x],[x,x,x+a^2]|=0 represents a stra...

    Text Solution

    |

  19. If =|[a b c, b^2c,c^2b],[ a b c,c^2a, c a^2],[a b c, a^2b,b^2a]|=0,(a ...

    Text Solution

    |

  20. The value of |[yz, z x,x y],[ p,2p,3r],[1, 1, 1]|,w h e r ex ,y ,z ar...

    Text Solution

    |