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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The lines represented by the equation x 2 + 2 3 x y + 3 y 2 - 3 x - 3 3 y - 4 = 0 , are

Options

  1. Aperpendicular to each other
  2. Bparallel
  3. Cinclined at 45 o to each other
  4. DNone of these

Correct answer

B. parallel

Step-by-step solution

The given equation can be written as ( x + 3 y ) 2 − 3 ( x + 3 y ) − 4 = 0 ⇒ x + 3 y + 1 = 0 , x + 3 y = 4 Hence, given equation represents two parallel lines

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