Home
Class 12
MATHS
Let the system of equations x+2y+3z=5,2x...

Let the system of equations `x+2y+3z=5,2x+3y+z=9,4x+3y+lambda z=mu` have infinite number of solutions.Then `lambda+2 mu` is equal to:

A

17

B

28

C

15

D

22

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos

Similar Questions

Explore conceptually related problems

Let the system of equation x+2y+3z=5, 2x+3y+z=9 and 4x+3y+lamdaz=mu have infinite number of solutions. Then value of lamda+2mu is equal to

If the system of equations 3x-y+4z=3,x+2y-3z=-2 and ,6x+5y+ lambda z=-3 has infinite number of solutions then lambda =

If the system of equations 3x-y+4z=3,x+2y-3z=-2, and 6x+5y+ lambda z =-3 has infinite number of solutions ,then lambda=

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

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 2x-3y+5z=12, 3x+y+lambdaz= mux7+y+8z=17 has infinitely many real solutions, then lambda+mu =

Let the equations x+y+z=5,x+2y+2z=6,x+3y+lambda z=mu have infinite solutions then the value of lambda+mu is

The system of equations 2x-y+z=0,x-2y+z=0 and lambda x-y+2z=0 has infinite number of non-trivial solution for

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

The system of equations 3x+2y+z=6,3x+4y+3z=14 and 6x+10y+82=a ,has infinite number of solutions,if a is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
  1. The number of solutions of the equation 4sin^(2)x-4cos^(3)x+9-4cos x=0...

    Text Solution

    |

  2. The value of int0^1(2x^3-3x^2-x+1)^(1/3)dx is equal to

    Text Solution

    |

  3. Let the system of equations x+2y+3z=5,2x+3y+z=9,4x+3y+lambda z=mu have...

    Text Solution

    |

  4. Let alpha be a non-zero real number.Suppose f:R rarr R is a differenti...

    Text Solution

    |

  5. Consider a /ABC where A(1,3,2),B(-2,8,0) and C(3,6,7) .If the angle bi...

    Text Solution

    |

  6. Let S(n) denote the sum of the first "n" terms of an arithmetic progre...

    Text Solution

    |

  7. "P" be a point on the ellipse (x^(2))/(9)+(y^(2))/(4)=1 .Let the line ...

    Text Solution

    |

  8. If (dx)/(dy)=(1+x-y^(2))/(y),x(1)=1 ,then 5x(2) is equal to.

    Text Solution

    |

  9. If three successive terms of a G.P.with common ratio r(r>1) are the le...

    Text Solution

    |

  10. Let vec a= hat i+hat j+hat k,vec b=-hat i-8 hat j+2 hat k and vec c=4 ...

    Text Solution

    |

  11. Let A=I(2)-2MM^(T),where "M" is a real matrix of order 2times1 such th...

    Text Solution

    |

  12. The lines L(1),L(2),...,L(20) are distinct.For n=1,2,3,...,10 all the ...

    Text Solution

    |

  13. 3 point O(0,0),P(aa^2),Q(-b,b^2)(agt0,bgt0) are on the parabola y=x^2....

    Text Solution

    |

  14. If y=((sqrt(x)+1)(x^(2)-sqrt(x)))/(x sqrt(x)+x+sqrt(x))+(1)/(15)(3cos^...

    Text Solution

    |

  15. Let "ABC" be an isosceles triangle in which "A" is at (-1,0),/A=(2 pi)...

    Text Solution

    |

  16. f:(0,infty)rarrR and F(x)=int(0)^(x)t f(t)dt If F(x^(2))=x^(4)+x^(5)...

    Text Solution

    |

  17. The sum of squares of all possible values of "k" ,for which area of th...

    Text Solution

    |

  18. A bag contains 8 balls,whose colours are either white or black. 4 ball...

    Text Solution

    |

  19. The value of the integral int0^(pi/4) frac{xdx}{sin^4 2x+cos^4 2x} equ...

    Text Solution

    |

  20. If A=[(sqrt2,1),(-1,sqrt2)],B=[(1,0),(0,1)], C=ABA^T,X=A^TC^2A then de...

    Text Solution

    |