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If for the system of linear equations having infinite solutions \(\begin{aligned}& (\lambda-4) x+(\lambda-2) y+\lambda z…

Q1
PYQ

If for the system of linear equations having infinite solutions

\(\begin{aligned}& (\lambda-4) x+(\lambda-2) y+\lambda z=0 \\& 2 x-3 y+5 z=0 \\& x+2 y+6 z=0\end{aligned}\)

then \(\lambda^2+\lambda\) is

a

0

b

\(\frac{9}{2}\)

c

2

d

\(\frac{3}{11}\)

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