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JEE Main 2011
Exam
JEE Main
Year
2011
Subject
Mathematics
Chapter
Determinants

JEE Main 2011 · Mathematics · Determinants

The number of values of k for which the linear equations 4 x+k y+2...

The number of values of k\mathrm{k} for which the linear equations 4x+ky+2z=0;kx+4y+z=0;2x+2y+z=04 x+k y+2 z=0 ; k x+4 y+z=0 ; 2 x+2 y+z=0 possess a non-zero solution is

Options

  1. A2
  2. B1
  3. Czero
  4. D3

Correct answer

A. 2

Step-by-step solution

\left|4k2k41221\begin{array}{lll}4 & k & 2 \\ k & 4 & 1 \\ 2 & 2 & 1\end{array}$$\right|=0 \Rightarrow k^2-6 k+8=0 \Rightarrow k=4,2
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