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If a^2+8 b^2+2 c^2+2 d^2-4 a b-4 b c-4 b d=0 (where a, b, c, d R ), then the value of | array ll a & b c & d array | is:

Options

  1. Aa^2 4
  2. Bb^2
  3. Cc^2
  4. Dd^2

Correct answer

D. d^2

Step-by-step solution

Given expression can be written as (a-2 b)^2+(2 b-c-d)^2+(c-d)^2=0 array ll & a=2 b, 2 b=c+d and c=d & b=c & a=2 b=2 c=2 d & Determinant =a d-b c=2 d d-d d=d^2=c^2=b^2= a^2 4 array

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