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      Question

      If in two linear equations ax + by = c and dx + ey = f

      and a/d = b/e = c/f  then, which of the following is true about the two equations?
      A They represent interesting lines Correct Answer Incorrect Answer
      B They represent coincident lines Correct Answer Incorrect Answer
      C Have a unique solution Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      Given, ax + by = c dx + ey = f Formula: If the given equations of straight line are a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0, then If a2b1 – a1b2 = 0 or a1/a2 = b1/b2 , then lines are parallel If, a1/a2 = b1/b2 = c1/c2 , then lines are coincident. Calculation: ax + by = c dx + ey = f a/d = b/c = e/f If both lines same now we can say both lines are coincident.

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