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BITSAT2024MathematicsDeterminantsActual

If the system of linear equations 2 x+y-z=7x-3 y+2 z=1 ; x+4 y+ z=k where , k R has infinitely many solutions, then +k is equal to:

Options

  1. A-3
  2. B3
  3. C6
  4. D9

Correct answer

B. 3

Step-by-step solution

For getting infinite solutions D =0, D ₁= D ₂= D =0 then check all the three equations Let = | array ccc 2 & 1 & -1 1 & -3 & 2 1 & 4 & array |=0 =-3 And ₁= | array ccc 7 & 1 & -1 1 & -3 & 2 k & 4 & -3 array |=0 k=6 +k=3

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