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NDA2019MathematicsDeterminantsActual

What are the values of x that satisfy the equation | array lll x & 0 & 2 2 x & 2 & 1 1 & 1 & 1 array |+ | array lll 3 x & 0 & 2 x^2 & 2 & 1 0 & 1 & 1 array |=0 ?

Options

  1. A-2 3
  2. B-1 3
  3. C-1 6
  4. D-2 6

Correct answer

D. -2 6

Step-by-step solution

On expanding both the determinants we get aligned & [n(1)+2(2 x-2)]+ [3 x+2 x^2 ]=0 & =2 x^2+8 x-4=0 & x^2+4 x-2=0 & x=-2 6 aligned

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