jee-main 2020 Q61

jee-main · India · session2_04sep_shift2 Matrices Linear System and Inverse Existence

If the system of equations $x + y + z = 2$ $2 x + 4 y - z = 6$ $3 x + 2 y + \lambda z = \mu$ has infinitely many solutions, then:
(1) $\lambda + 2 \mu = 14$
(2) $2 \lambda - \mu = 5$
(3) $\lambda - 2 \mu = - 5$
(4) $2 \lambda + \mu = 14$

If the system of equations\\
$x + y + z = 2$\\
$2 x + 4 y - z = 6$\\
$3 x + 2 y + \lambda z = \mu$\\
has infinitely many solutions, then:\\
(1) $\lambda + 2 \mu = 14$\\
(2) $2 \lambda - \mu = 5$\\
(3) $\lambda - 2 \mu = - 5$\\
(4) $2 \lambda + \mu = 14$

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