JEE Advanced2010MathematicsVector 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 an d -3 i +2 j respectively. The quadrilateral P Q R S must be a

Options

Aparallelogram, which is neither a rhombus nor a rectangle
Bsquare
Crectangle, but not a square
Drhombus, but not a square

Correct answer

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

Step-by-step solution

m_ P Q = 1 6 , m_ S R = 1 6 , m_ R Q =-3 , m_ S P =-3 Parallelogram But neither P R=S Q nor P R S Q . Parallelogram, which is neither a rhombus nor a rectangle.

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