Home
Class 12
MATHS
Let a,lambda,mu in R, Consider the syste...

Let `a,lambda,mu in R,` Consider the system of linear equations `ax+2y=lambda 3x-2y=mu` Which of the flollowing statement (s) is (are) correct?

A

If a=-3, then the system has infinitely many solutions for all values of `lambda` and `mu`

B

If `a ne -3` , then the system has a unique solution for all values of `lambda` and `mu`

C

If `lambda+mu=0` , then the system has infinitely many solutions for a=-3

D

If `lambda + mu ne 0` , then the system has no solution for a=-3

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let a,lambda,mu in R, Consider the system of linear equations ax+2y=lambda3x-2y=mu Which of the flollowing statement (s) is (are) correct?

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

Consider the system of equations x+y+z=5 x+2y+lamda^2z=9 x+3y+lamdaz=mu

System of equation x+3y+2z=6;x+lambda y+2z=7;x+3y+2z=mu has

The value of lambda and mu for which the system of linear equation x+y+z=2 x+2y+3z=5 x+3y+lambda z= mu has infinitely many solutions are , respectively :

The system of equations 3x-2y+z=0,lambda x-14y+15z=0,x+2y-3z=0 has non- zero solution then lambda=

Consider the system of linear equations x+y+z=5 , x+2y+lambda^(2)z=9,x+3y+lambda z=mu ,where lambda,mu in R .Then,which of the following statement is NOT correct?

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

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