Home
Class 12
MATHS
The set of all values of lamda for which...

The set of all values of `lamda` for which the system of linear equations: `2x_1-2x_2+x_3=lamdax_1, 2x_1-3x_2+2x_3=lamdax_2, -x_1+2x_2=lamdax_3` has no trivial solution, (A) contains more than two elements (B) is in empty set (C) is a singleton (D) contains two elements

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    ALLEN|Exercise EX -JA|8 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|147 Videos

Similar Questions

Explore conceptually related problems

The set of the all values of lamda for which the system of linear equations 2x_(1) - 2x_(2) + x_(3) = lamdax_(1) 2x_(1) - 3x_(2) + 2x_(3) = lamda x_(2) -x_(1) + 2x_(2) = lamda x_(3) has a non-trivial solution,

The set of all values of lambda for which the system of linear equations x - 2y - 2z = lambdax x + 2y + z = lambday -x -y = lambdaz has a non-trivial solution

The set of all values of lambda for which the system of linear equations: x-2y-2z=lambdax , x+2y+z=lambday and -x-y=lambdaz has a non-trivial solution: (a) is an empty sheet (b) is a singleton (c) contains more than two elements (d) contains exactly two elements

If S is the set of distinct values of ' b for which the following system of linear equations x+y+z=1 x+a y+z=1 a x+b y+z=0 has no solution, then S is : a finite set containing two or more elements (2) a singleton an empty set (4) an infinite set

Consider the system of linear equations: x_(1) + 2x_(2) + x_(3) = 3 2x_(1) + 3x_(2) + x_(3) = 3 3x_(1) + 5x_(2) + 2x_(3) = 1 The system has

Consider the system of linear equations: x_(1) + 2x_(2) + x_(3) = 3 2x_(1) + 3x_(2) + x_(3) = 3 3x_(1) + 5x_(2) + 2x_(3) = 1 The system has

Consider the system of linear equations; x-1\ +2x_2+x_3=3, 2x_1+3x_2+_3=3, 3x_1+5x_2+2x_3=1 The system has Infinite number of solutions Exactly 3 solutions A unique solution No solution

Find the set of real value(s) of a for which the equation |2x+3|+|2x-3|=a x+6 has more than two solutions.

Find the set of real value(s) of a for which the equation |2x+3|+|2x-3|=a x+6 has more than two solutions.

Find the set of values of x for which (tan 3x - tan 2x)/ (1+ tan3x tan 2x) = 1

ALLEN-DETERMINANTS-All Questions
  1. If D=|(1, 1, 1), (1, 1+x, 1), (1, 1, 1+y)| for x!=0, y!=0 then D is (...

    Text Solution

    |

  2. Let a, b, c be any real numbers. Suppose that there are real number...

    Text Solution

    |

  3. 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

    |

  4. Consider the system of linear equations; x-1\ +2x2+x3=3, 2x1+3x2+3=3, ...

    Text Solution

    |

  5. The number of value of k for which the linear equations 4x+k y+2z=0k x...

    Text Solution

    |

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

    Text Solution

    |

  7. The number of values of k for which the system of equations (k+1)x+8y=...

    Text Solution

    |

  8. If a ,b ,c are sides of a scalene triangle, then value of |[a, b, c] ,...

    Text Solution

    |

  9. If the system of linear equations x1+2x2+3x3=6,\ x1+3x2+5x3=9,\ 2x2+5x...

    Text Solution

    |

  10. Assertion : The system of linear equations x+(sinalpha)y+(cosalpha)z=0...

    Text Solution

    |

  11. Consider the system of equations x+a y=0,\ y+a z=0.\ Then the set of ...

    Text Solution

    |

  12. if alpha, beta , ne 0 " and " f(n) =alpha^(n)+beta^(n) " and " |{:(...

    Text Solution

    |

  13. The set of all values of lamda for which the system of linear equation...

    Text Solution

    |

  14. The system of linear equations x+lambday -z=0 lambdax -y-z=0 ...

    Text Solution

    |

  15. The number of distinct real roots of the equation |{:(cosx, sinx, sinx...

    Text Solution

    |

  16. Test the consistency and solve them when consistent the following s...

    Text Solution

    |

  17. Let a ,b ,c be real numbers with a^2+b^2+c^2=1. Show that the eq...

    Text Solution

    |

  18. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  19. Consider the system of equations x-2y+3z=1;-x+y-2z=; x-3y+4z=1. State...

    Text Solution

    |

  20. Solve for theta for the equation 4cot2θ=cot ^2θ−tan ^2θ .

    Text Solution

    |