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MHT CET202415 May 2024Evening ShiftMathematicsVector AlgebraActual

Let P, Q, R and S be the points on the plane with position vectors -2 i - j , 4 i , 3 i +3 j and -3 i +2 j respectively. Then the quadrilateral PQRS must be a

Options

  1. Aparallelogram, which is neither a rhombus nor a rectangle.
  2. Bsquare.
  3. Crectangle, but not a square.
  4. Drhombus, but not a square.

Correct answer

A. parallelogram, which is neither a rhombus nor a rectangle.

Step-by-step solution

m _ PQ = 1 6 , ~m _ SR = 1 6 , ~m _ RQ =-3, ~m _ SP =-3 PQRS is a parallelogram. But neither PR = SQ nor PR ^ SQ . Parallelogram, which is neither a rhombus nor a rectangle.

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