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

If the system of linear equations x+y+z=6, x+2y+3z=14 and 2x +5y+`lambdaz=mu(lambda,mu ne `R) has a unique solution if `lambda` is

A

`lambdane`8

B

`lambda =8 "and" mu ne 36`

C

`lambda =8 "and" mu =36`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise For Session 2|11 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If the system of linear equation x+y+z=6,x+2y+3c=14, and 2x+5y+lambda z=mu(lambda,mu epsilon R) has a unique solution,then lambda=8 b.lambda=8,mu=36c.lambda=8,mu!=36

The system of the linear equations x + y – z = 6, x + 2y – 3z = 14 and 2x + 5y – lambdaz = 9 (lambda in R) has a unique solution if

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

The system of linear equations x+y-z=6,x+2y-3z=14 and 2x+5y-lambda z=9 has a unique solution (A) lambda=8( B )lambda!=8(C)lambda=7 (D) lambda!=7

Let [lambda] be the greatest integer less than or equal to lambda . The set of all values of lambda for which the system of linear equations x +y+z=4, 3x+2y+5z=3, 9x+4y + (28+[lambda])z=[lambda] has a solution is :

The system of linear equations x-y-2z=6.-x+y+z=mu,lambda x+y+z=3 has

If the system of linear equations x+2y+3z=lambda x, 3x+y+2z=lambday , 2x+3y+z=lambdaz has non trivial solution then lambda=

Let lambda be a real number for which the system of linear equations x+y+z=64x+lambda y-lambda z=lambda-23x+lambda y-4z=-5 has infinity many solutions then lambda is a root of the quadratic equation:

The system of linear equations x + lambda y-z =0, lambdax-y -z =0, x + y -lambda z =0 has a non-trivial solution for