Home
Class 12
MATHS
If 2a x-2y+3z=0,x+a y+2z=0,a n d, 2x+a z...

If `2a x-2y+3z=0,x+a y+2z=0,a n d, 2x+a z=0` have a nontrivial solution, find the value of `adot`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite solutions, then the value of a is, a. -3 b. -1 c. 0 d. 3

If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero solution, then the possible value of k are a. -1,2 b. 1,2 c. 0,1 d. -1,1

The value of k for which the system of equations x+ky-3z=0 , 3x+ky-2z=0, 2x+3y-4z=0 has a non -trivial solution is

For what values of k , the following system of equations possesses a nontrival solution over the set of rationals: x+k y+3z=0,3x+k y-2z=0,2x+3y-4z=0. Also find the solution for this value of kdot

If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no solution, then the value of k is -

If the system of equation {:(,x-2y+z=a),(2x+y-2z=b),and,(x+3y-3z=c):} have at least one solution, then the relationalship between a,b,c is

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

If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find the value of adot

If line 3x-a y-1=0 is parallel to the line (a+2)x-y+3=0 then find the value of adot

Find lambda for which the system of equations x+y-2z=0,2x-3y+z=0,x-5y+4z=lambda is consistent and find the solutions for all such values of lambdadot

CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. Solve the system of the equations: a x+b y+c z=d, a^2x+b^2y+c^2z=d^2,...

    Text Solution

    |

  2. If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0 , then the line a x+b y+c=0...

    Text Solution

    |

  3. If 2a x-2y+3z=0,x+a y+2z=0,a n d, 2x+a z=0 have a nontrivial solutio...

    Text Solution

    |

  4. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  5. If f(x)=a+b x+c x^2 and alpha,beta,gamma are the roots of the equation...

    Text Solution

    |

  6. If x ,y \ a n d \ z are not all zero and connected by the equations ...

    Text Solution

    |

  7. Find lambda for which the system of equations x+y-2z=0,2x-3y+z=0,x-...

    Text Solution

    |

  8. If p ,q ,r are in A.P. then value of determinant |[a^2+2^(n+1)+2p, b^2...

    Text Solution

    |

  9. For what values of k , the following system of equations possesses a...

    Text Solution

    |

  10. Let a ,b , c in R such that no two of them are equal and satisfy |(2a...

    Text Solution

    |

  11. Solve for x by Cramers rule x+y+z=6, x-y+z=2 3x+2y-4z=-5

    Text Solution

    |

  12. The value of the determinant |(k a, k^2+a^2, 1),(k b, k^2+b^2, 1),(k c...

    Text Solution

    |

  13. Find the value of a \ a n d \ b if the system of equation a^2x-b y=a...

    Text Solution

    |

  14. If (x1-x2)^2+(y1-y2)^2=a^2, (x2-x3)^2+(y2-y3)^2=b^2, (x3-x1)^2+(y3-y1...

    Text Solution

    |

  15. f(x)=|[cosx,x,1],[2sinx,x^2,2x],[tanx,x,1]| . Then value of lim(x->0)(...

    Text Solution

    |

  16. If a system of three linear equations x+4a y+a=0,x+3b y+b=0, and x+2c...

    Text Solution

    |

  17. Let alpha be a repeated root of a quadratic equation f(x)=0 and A(x...

    Text Solution

    |

  18. If |[a^2+lambda^2,ab+clambda,ca-blambda],[ab-clambda,b^2+lambda^2,bc+a...

    Text Solution

    |

  19. Value of |{:(1+x(1),,1+x(1)x,,1+x(1)x^(2)),(1+x(2),,1+x(2)x,,1+x(2)x^(...

    Text Solution

    |

  20. If f(x)=|(a1+x, b1+x, c1+x), (a2+x, b2+x, c2+x),(a3+x, b3+x, c3+x)|, s...

    Text Solution

    |