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The number of values of k for which the linear equations 4 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

| array lll 4 & k & 2 k & 4 & 1 2 & 2 & 1 array |=0 k^2-6 k+8=0 k=4,2

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