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JEE Main201815 Apr 2018Evening ShiftMathematicsDeterminantsActual

If the system of linear equations aligned &x+a y+z=3 &x+2 y+2 z=6 &x+5 y+3 z=b aligned has no solution, then

Options

  1. Aa=1, b 9
  2. Ba -1, b=9
  3. Ca=-1, b=9
  4. Da=-1, b 9

Correct answer

D. a=-1, b 9

Step-by-step solution

As the system of equations has no solution then should be zero and at least one of ₁ , ₂ and ₃ should not be zero. aligned & = | array lll 1 & a & 1 1 & 2 & 2 1 & 5 & 3 array |=0 & -a-1=0 a=-1 & ₂= | array lll 1 & 3 & 1 1 & 6 & 2 1 & b & 3 array | 0 & b 9 aligned

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