Home
Class 12
MATHS
If the system of equations x + 2y + 3z =...

If the system of equations `x + 2y + 3z = 4, x+ py+ 2z = 3, x+ 4y +u z = 3` has an infinite number of solutions and solution triplet is

A

`p=2,mu=3 and (5-4lamda,lamda-1,lamda)`

B

`p=2,mu=4, and (5-4lamda,(lamda-1)/(2),2lamda)`

C

`3p=2mu,and (5-4lamda,lamda-1,2lamda)`

D

`p=4,mu=2, and (5-4lamda,(lamda-1)/(2),lamda)`

Text Solution

Verified by Experts

The correct Answer is:
D
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

If the system of equation x - 2y + 5z = 3 2x - y + z = 1 and 11x - 7y + pz = q has infinitely many solution, then

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for:

The system of linear equations x + y + z = 2 2x + y -z = 3 3x + 2y + kz = 4 has a unique solution, if

Show that the homogenous system of equations x - 2y + z = 0, x + y - z = 0, 3 x + 6y - 5z = 0 has a non-trivial solution. Also find the solution

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

If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + alphaz = beta has infinitely many solution, then beta - alpha equals

If system of equation x + y + z = 6 x + 2y + 3z = 10 3x + 2y + lambda z = mu has more than two solutions. Find (mu -lambda )

The system of equations x+2y+3z=4 , 2x+3y+4z=5 , 3x+4y+5z=6 has a. infinite many solution b.no solution c. unique solution d. none of these.

If system of equation x + y + z = 6 ,x + 2y + 3z = 10, 3x + 2y + lambda z = mu has more than two solutions. Find (mu -lambda^2 )

The system of equations x+2y-4z=3,2x-3y+2z=5 and x -12y +16z =1 has

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

    |