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Paragraph: If (a, b, c, )=0 for every 0 , then which one of the following is correct?

Options

  1. Aa, b, c are in AP
  2. Ba, b, c are in GP
  3. Ca, 2 b, c are in AP
  4. Da, 2 b, c are in GP

Correct answer

B. a, b, c are in GP

Step-by-step solution

| array ccc a & b & a +b b & c & b +c a +b & b +c & 0 array |=0R₃ R₃- R₁-R₂ | array ccc a & b & a +b b & c & b +c 0 & 0 & -a ^2-b -b -c array |=0 Expanding along R₃ , - (a ^2+2 b +c ) (b^2-a c )=0 0b^2-a c=0 b^2=a ca, b, c are in GP

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