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NDA2019MathematicsDeterminantsActual

If x+a+b+c=0 , then what is the value of | array ccc x+a & b & c a & x+b & c a & b & x+c array | ?

Options

  1. A0
  2. B(a+b+c)^2
  3. Ca^2+b^2+c^2
  4. Da+b+c-2

Correct answer

A. 0

Step-by-step solution

Given: x+a+b+c=0 = | array ccc x+a & b & c a & x+b & c a & b & x+c array | Replace c , by c₁+c₂+c₃ array ll & | array ccc x+a+b+c & b & c x+a+b+c & x+b & c x+a+b+c & b & x+c array | & x+a+b+c=0 & =0 array

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