The points (a, b), (0, 0), (-a, -b) and `(ab, b^(2))` are

Options

A. the vertices of a parallelogram
B. the vertices of a rectangle
C. the vertices of a square
D. collinear

Answer

B

Explanation

Given points, `A(a, b), B(0, 0), C(-a, -b), D(ab, b^(2))`
Slope of `AB=(b-0)/(a-0)=b/a`
Slope of `BC=b/a`
Slope of `AC=b/a`
Slope of `BD=b/a`
So, the points are collinear.