Home
Class 12
MATHS
The value of lambda for which the system...

The value of `lambda` for which the system of equations `2x-y-z=12,x-2y +z = -4, x+y+z=4` has no solution is

A

3

B

1

C

0 (zero)

D

-3

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2016|4 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise JEE MAIN (AIEEE) ARCHIVE 2012|2 Videos
  • ALGEBRA

    CHHAYA PUBLICATION|Exercise WBJEE ARCHIVE 2014|2 Videos
  • ADJOINT AND INVERSE OF A MATRIX AND SOLUTION OF LINEAR SIMULTANEOUS EQUATIONS BY MATRIX METHOD

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos
  • ARCHIVE

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|13 Videos

Similar Questions

Explore conceptually related problems

The value of k for which the system of equations x+ky-3z=0 , 3x+ky-2z=0, 2x+3y-4z=0 has a non -trivial solution is

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.

Knowledge Check

  • If the system of equations x+2y+3z=1, 2x+ky+5z=1, 3x+4y+7z=1 has no solutions, then -

    A
    k=-1
    B
    k=1
    C
    k=3
    D
    k=2
  • The system of equation x+y+z=6, x+4y+6z=20, x+4y+mz=n . Has no solution then

    A
    `m=6,n=20`
    B
    `m=6,n!=20`
    C
    `m!=6,n=20`
    D
    `m!=6,n!=20`
  • If the system of equations x+y+z=6, x+2y+kz=0 and x+2y+3z=10 has no solution, then the value of k is -

    A
    5
    B
    4
    C
    3
    D
    2
  • Similar Questions

    Explore conceptually related problems

    Find the value of lambda for which the homogeneous system of equations: 2x+3y-2z=0 , 2x-y+3z=0 , 7x+lambday-z=0 has non-trivial solutions.

    The sum of values of p for which the equations x+y+z=1, x+2y +4z=p and x+4y +10z = p^(2) have a solution is "____"

    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 values of k in R for which the system of equations x+k y+3z=0,k x+2y+2z=0,2x+3y+4z=0 admits of nontrivial solution is a. 2 b. 5//2 c. 3 d. 5//4

    The system of equation x+y+2z=1, x+2y+3z=2, x+4y+alphaz=4 . Has unique then