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

If the system of equations
`x+y+z=2`
`2x+4y-z=6`
`3x+2y+lambdaz=mu`
has infinitely many solutions, then :

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

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

For a unique value of mu & lambda , the system of equations given by {:(x+y+z=6),(x+2y+3z=14),(2x+5y+lambdaz=mu):} has infinitely many solutions , then (mu-lambda)/4 is equal to

If the system of equations x+y+z=6, x+2y+lambdaz=10 and x+2y+3z=mu has infinite solutions, then the value of lambda+2mu is equal to

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

Consider the system of equations x+y+z=6 x+2y+3z=10 x+2y+lambdaz =mu the system has infinite solutions if (a) lambda ne 3 (b) lambda =3,mu =10 (c) lambda =3,mu ne 10 (d) lambda =3,mu ne 10

If the system of linear equations x+ y +z = 5 x+2y +2z = 6 x + 3y + lambdaz = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is

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

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 )

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

    Text Solution

    |

  2. The number of integral values of 'm' less than 50, so that the roots o...

    Text Solution

    |

  3. If the system of equations x+y+z=2 2x+4y-z=6 3x+2y+lambdaz=mu ...

    Text Solution

    |

  4. Find the possible vaues of 'alpha' for which of expession y=(alphax^(2...

    Text Solution

    |

  5. Consider a square matrix A or order 2 which has its elements as 0, 1, ...

    Text Solution

    |

  6. If P=(sin 300^0dottan 330^0dotsec 420^0)/(tan135^0dots in 210^0dots ...

    Text Solution

    |

  7. Prove that: s inpi/(14)s in(3pi)/(14)s in(5pi)/(14)s in(7pi)/(14)s in(...

    Text Solution

    |

  8. If p, q are the roots of the quadratic equation x2 + 2bx + c = 0, pro...

    Text Solution

    |

  9. (sin theta)/(cos3theta)+(sin3theta)/(cos9theta)+(sin9theta)/(cos27thet...

    Text Solution

    |

  10. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  11. If f(x)=|(cos(x+alpha),cos(x+beta),cos(x+gamma)),(sin(x+alpha),sin(x+b...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. A solution of the system of equations x-y=1/3 and cos^2pix-sin^2πy=1/2...

    Text Solution

    |

  14. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  15. In the quadratic equation x^2+(p+i q)x+3i=0,p&q are real. If the sum o...

    Text Solution

    |

  16. If lines x=y=zandx=(y)/(2)=(z)/(3) and third line passing through (1,1...

    Text Solution

    |

  17. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  18. Match the following Column I " " Column II cos(73pi)/4 ...

    Text Solution

    |

  19. The number of four-digit numbers that can be made with the digits 1...

    Text Solution

    |

  20. The third term of a G.P. is the square of the first term. If the secon...

    Text Solution

    |