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 + lambdaz = mu, (lambda, mu in R)` has infinitely many solutions, then the value of `lambda + mu` is

A

9

B

7

C

12

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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 lambda x + y + z = 3 x - y - 2z = 6 -x + y + z = mu has

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

The system of linear equations x - 2y + z = 4 2x + 3y - 4z = 1 x - 9y + (2a + 3)z = 5a + 1 has infinitely many solution for:

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

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

Consider the system of equations x+y+z=5 x+2y+lamda^2z=9 x+3y+lamdaz=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 lambda x + y + 3z = 0, 2x + mu y - z = 0, 5x + 7y + z = 0 has infinitely many solutions in R. 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