Question

The points A(- a, -b), B (0, 0), C(a, b) and D(a² , ab) are ______.

Options

• vertices of a square

• vertices of a parallelogram

• collinear

• vertices of a rectangle

Answer 1

The points A(- a, -b), B (0, 0), C(a, b) and D(a² , ab) are collinear.

Explanation:

We have,

A(- a, -b), B (0, 0), C(a, b) and D(a² , ab)

Slope of AB = `"b"/"a"`

Slope of BC = b/a

Slope of CD = b/a

∴ Slope of AB = Slope of BC = Slope of CD

Hence, A, B, C, D are collinears.