Home
Class 12
MATHS
Determine for that values of lambda and...

Determine for that values of `lambda and mu` the following system of equations
`x+y+xz=6,
x+2y+43z=10 and` x+2y+lambdaz=mu` have (i) no solution (iii) a unique solution ? (iii) an infine number of solution?

Text Solution

Verified by Experts

The correct Answer is:
`(a)lambda=3, (b)lambda=3,mu=10 (c)lambda=3,mune10`
Promotional Banner

Topper's Solved these Questions

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise PART-II|26 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise EXERCISE-2|19 Videos

  • MATRICES & DETERMINANT

    RESONANCE ENGLISH|Exercise SECTION-C|10 Videos

  • INDEFINITE INTEGRATION

    RESONANCE ENGLISH|Exercise SELF PRACTIC PROBLEMS|25 Videos

  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos

Similar Questions

Explore conceptually related problems

. For what values of lambda and mu the system of equations x+y+z=6, x+2y+3z=10, x+2y+lambdaz=mu has (i) Unique solution (ii) No solution (iii) Infinite number of solutions

Determine the values of lambda for which the following system of equations : lambdax+3y-z=1 , x+2y+z=2 , -lambdax+y+2z=-1 has non-trival solutions.

For which value (s) of lambda , do the pair of linear equations lambdax + y = lambda^(2) and x + lambda y = 1 have (i) no solution ? (ii) infinitely many solutions ? (iii) a unique solution ?

For what values of p and q the system od equations x+y+z=6 x+2y+3z=10 x+2y+pz=q has (i) unique sollution ? (ii) an infinitely many solutions ? (iii) no solution ?

For what values of p and q, the system of equations 2x+py+6z=8,x+2y+qz=5,x+y+3z=4 has (i) no solution (ii) a unique solution (iii) infinitely many solutions.

The system of equations 3x+y-z=0, 5x+2y-3z=0, 15x+6y-9z=5 has (A) no solution (B) a unique solution (C) two distinct solutions (D) infinitely many solutions

For what values of a and b, the system of equations 2x+a y+6z=8, x+2y+b z=5, x+y+3z=4 has: (i) a unique solution (ii) infinitely many solutions (iii) no solution

For what values of p and q the system of equations 2x+py+6z=8, x+2y+qz=5, x+y+3z=4 has i no solution ii a unique solution iii in finitely many solutions.

For what values of p and q the system of equations 2x+py+6z=8, x+2y+qz=5, x+y+3z=4 has i no solution ii a unique solution iii in finitely many solutions.

The system of equations -2x+y+z=a , x-2y+z=b , x+y-2z=c , has: (a)no solution if a+b+c!=0 (b)unique solution if a+b+c=0 (c)infinite number of solutions if a+b+c=0 (d)none of these

RESONANCE ENGLISH-MATRICES & DETERMINANT-SECTION-D
  1. For the matrix A=[{:(,3,2),(,1,1):}] Find a & b so that A^(2)+aA+bI=0....

    Text Solution

    |

  2. Find the total number of possible square matrix. A order 3 with all re...

    Text Solution

    |

  3. If A=[{:(,1,1,2),(,0,2,1),(,1,0,2):}] show that A^(3)=(5A-I)(A-I)

    Text Solution

    |

  4. Apply Cramer's rule to solve the simultaneous equations. (i)x+2y+3z...

    Text Solution

    |

  5. Solve using Cramer's rule:(4)/(x+5)+(3)/(y+7)=-1&(6)/(x+5)-(6)/(y+7)=-...

    Text Solution

    |

  6. Find those values of c for which the equations: 2x+3y=3,(c+ 2)x + (c +...

    Text Solution

    |

  7. Solve the following systems of liner a equations by cramer rule . (i...

    Text Solution

    |

  8. Determine for that values of lambda and mu the following system of eq...

    Text Solution

    |

  9. Determine the product [(-4, 4, 4),(-7, 1, 3),( 5,-3,-1)][(1,-1, 1),( 1...

    Text Solution

    |

  10. Compute A^(-1), if A=[{:(,3,-2,3),(,2,1,-1),(,4,-3,2):}]. Hence sove t...

    Text Solution

    |

  11. Show that following system of linear equations is inconsistent: 4x-...

    Text Solution

    |

  12. If A=[{:(,1,0,2),(,0,2,1),(,2,0,3):}] is a root of polynomial x^(3)-6x...

    Text Solution

    |

  13. If A=[[a,b],[c,d]] (where b c!=0 ) satisfies the equations x^2+k=0,t h...

    Text Solution

    |

  14. If the system of equations x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y +u z ...

    Text Solution

    |

  15. Let lambda and alpha be real. Then the numbers of intergral values ...

    Text Solution

    |

  16. Let [{:(,a,o,b),(,1,e,1),(,c,o,d):}]=[{:(,0),(,0),(,0):}] where a,b,c,...

    Text Solution

    |

  17. a ,b ,c are distinct real numbers not equal to one. If a x+y+z=0,x+b y...

    Text Solution

    |