The points (-a, -b), (0, 0), (a, b) and (a2, ab) are
Collinear
Vertices of a rectangle
Vertices of a parallelogram
None of these
Here area of quadrilateral is equal to area of △ ABD + area of △ BCD
= ∣∣ ∣∣−a−b1001a2ab1∣∣ ∣∣ + ∣∣ ∣∣001ab1a2ab1∣∣ ∣∣ = 0
Hence the points are collinear.