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NDA2017MathematicsDeterminantsActual

If a b c , then one value of x which satisfies the equation | array ccc 0 & x-a & x-b x+a & 0 & x-c x+b & x+c & 0 array |=0 is given by

Options

  1. Aa
  2. Bb
  3. Cc
  4. D0

Correct answer

D. 0

Step-by-step solution

| array ccc 0 & x-a & x-b x+a & 0 & x-c x+b & x+c & 0 array |=0 We know, the value of symmetric matrix's determinant is 0 | array ccc 0 & - a & - b a & 0 & - c ~b & c & 0 array |=0 In the given matrix, determinant is 0 , if x=0

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