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AP EAMCET202418 May 2024Morning ShiftMathematicsDeterminantsActual

If , , are the roots of | array ccc 1-x & -2 & 1 -2 & 4-x & -2 1 & -2 & 1-x array |=0 , then + + =

Options

  1. A6
  2. B8
  3. C0
  4. D-4

Correct answer

C. 0

Step-by-step solution

| array ccc 1-x & -2 & 1 -2 & 4-x & -2 1 & -2 & 1-x array |=0 aligned & (1-x) (4-x)(1-x)-4 +2 -2(1-x)+2 + & 1(4-4+x)=0 x^3-6 x^2=0 aligned , and are the roots of x^3-6 x^2=0 So, + + = 0 1 =0

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