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MHT CET20242 May 2024Evening ShiftMathematicsStraight LinesActual

The diagonals of a parallelogram ABCD are along the lines x+3 y=4 and 6 x-2 y=7 . Then ABCD must be a

Options

  1. Arectangle.
  2. Bsquare.
  3. Crhombus.
  4. Dcyclic quadrilateral

Correct answer

C. rhombus.

Step-by-step solution

Slope of x+3 y=4 is m ₁=- 1 3 Slope of 6 x-2 y=7 is m₂=3 Here, m ₁ ~m ₂=-1 The diagonals are perpendicular to each other. Parallelogram ABCD is a rhombus.

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