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STD 12 - 3 and 4 . determinant and metrices — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 3 and 4 . determinant and metrices1 Mark
MCQ
If the system of equation $2x + 3y =\, -1; 3x + y = 2; \lambda x + 2y = \mu $ is consistent, then
  • ✓
    $\lambda  - \mu  = 2$
  • B
    $\lambda  + \mu  = -1$
  • C
    $\lambda  + \mu  = 3$
  • D
    $\lambda  - \mu + 8= 0$
✓

Answer

Correct option: A.
$\lambda  - \mu  = 2$
a
Solve equation $( 1)$ and $(2)$ we get

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

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

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

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