3 and 4 .Determinants and Matrices
normal

If the system of equation $2x + 3y =\, -1; 3x + y = 2; \lambda x + 2y = \mu $ is consistent, then

A

$\lambda  - \mu  = 2$

B

$\lambda  + \mu  = -1$

C

$\lambda  + \mu  = 3$

D

$\lambda  - \mu + 8= 0$

Solution

Solve equation $( 1)$ and $(2)$ we get

$\mathrm{x}=1$ and $\mathrm{y}=-1$ put in equation $(3)$

$\lambda \mathrm{x}+2 \mathrm{y}=\mu \Rightarrow \lambda-2=\mu$

$\Rightarrow \quad \boxed{\lambda  – \mu  = 2}$

Standard 12
Mathematics

Similar Questions

Start a Free Trial Now

Confusing about what to choose? Our team will schedule a demo shortly.