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NTA Abhyas JEE Main2020MathematicsStraight LinesPractice

The points - 2 , - 1 , 1,0 , 4,3 and 1,2 are

Options

  1. Acollinear
  2. Bconcyclic
  3. Cthe vertices of a parallelogram
  4. Dthe vertices of a rectangle

Correct answer

C. the vertices of a parallelogram

Step-by-step solution

Midpoint of - 2 , - 1 & 4,3 is 1,1 Midpoint of 1,0 & 1,2 is 1,1 Hence, - 2 , - 1 , 1,0 , 4,3 and 1,2 are the vertices of a parallelogram. Now, the distance between - 2 , - 1 and 4,3 is 52 and the distance between 1,0 & 1,2 is 2 Because 52 ≠ 2 , hence, points do not form a rectangle

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