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Paragraph: aligned & a x+b y+c=0 & b x+c y+a=0 & c x+a y+b=0 aligned is a system of linear equation then answer the following questions : Question: If a = b = c and a+b+c 0 then the system of linear equation have -

Options

  1. Ainfinite solution all lying on a line
  2. Bentire xy plane as solution
  3. Cunique solution
  4. Dno solution

Correct answer

A. infinite solution all lying on a line

Step-by-step solution

a = b = c makes all the lines coincident a(x+y+1)=0a 0 because a+b+c 0x+y+1=0 infinite solutions, all lying on the line x+y+1=0 .

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