QJEEM21Mad8b3: JEE Main 2021 Mathematics - Class 12 JEEM21Mad8b3 Solution: The value of k R, for which the following system of linear…

Question

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The value of k

\in

R, for which the following system of linear equations

3x

-

y + 4z = 3,

x + 2y

-

3z =

-

2

6x + 5y + kz =

-

3,

has infinitely many solutions, is :

Accepted Answer

| \begin{matrix} 3 & - 1 & 4 \\ 1 & 2 & - 3 \\ 6 & 5 & k \end{matrix} | = 0

\Rightarrow

3(2k + 15) + K + 18

-

28 = 0

\Rightarrow

7k + 35 = 0

\Rightarrow

k =

-

5

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