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JEE Main20244 Apr 2024Morning ShiftMathematicsDeterminantsActual

If the system of equations aligned & x+( 2 ) y+( 2 ) z=0 & x+( ) y+( ) z=0 & x+( ) y-( ) z=0 aligned has a non-trivial solution, then (0, 2 ) is equal to :

Options

  1. A11 24
  2. B5 24
  3. C7 24
  4. D3 4

Correct answer

B. 5 24

Step-by-step solution

aligned & | array ccc 1 & 2 & 2 1 & & - 1 & & array |=0 & 1- 2 ( + )+ 2 ( - )=0 & 1+ 2 2 - 2 2 =0 & 2 - 2 =- 1 2 & (2 + 4 )=- 1 2 & 2 + 4 =2 n 2 3 & + 8 = n 3 & n =0 & x = 3 - 8 = 5 24 aligned

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