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JEE Main201910 Jan 2019Evening ShiftMathematicsStraight LinesActual

Two sides of a parallelogram are along the lines, x + y = 3 and x - y + 3 = 0 . If its diagonals intersect at 2 , 4 , then one of its vertex is:

Options

  1. A3 , 6
  2. B2 , 6
  3. C2 , 1
  4. D3 , 5

Correct answer

A. 3 , 6

Step-by-step solution

As B C ∥ A D ⇒ Slope B C = Slope A D Hence, slope of B C = 1 ⇒ 3 - h - 5 h - 4 = 1 ⇒ - h - 2 = h - 4 ⇒   2 h = 2 ⇒ h = 1 ∴   B 1 , 2 and D 3 , 6

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