3 and 4 .Determinants and Matrices
hard

For which of the following ordered pairs $(\mu, \delta)$ the system of linear equations  $x+2 y+3 z=1$ ; $3 x+4 y+5 z=\mu$ ; $4 x+4 y+4 z=\delta$ is inconsistent?

A

$(1,0)$

B

$(4,6)$

C

$(3,4)$

D

$(4,3)$

(JEE MAIN-2020)

Solution

$2 \times(\text { ii })-2 \times(i)-(\text { iii })$

$0=2 \mu-2-\delta$

$\Rightarrow \delta=2(\mu-1)$

Standard 12
Mathematics

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