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

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 :

Promotional Banner

Similar Questions

Explore conceptually related problems

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 + 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 = 6, x + 2y + 3z = 14 and 2x + 5y + lambdaz = mu , (lambda, mu in R) has a unique solution then find the values of lambda and mu .

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+y+z=6 ,x+2y+3z=14 " and " 2x+5y+lambdaz=mu (lambda, mu in R) has a unique solution then

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

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

The system of linear equations x +y+z =6, x+2y+3z= 14 and 2x+5y+ lambdaz=mu(lambda,mu in "RR") is consistent with unique solution if

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

Let lambda be a real number for which the system of linear equations x + y +z =6, 4x + lambday -lambdaz = lambda -2 and 3x + 2y-4z =-5 has infinitely many solutions. Then lambda is a root of the quadratic equation