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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