If a, b, c are in G.P. write the area of the triangle formed by the line ax + by + c = 0 with the coordinates axes.

Question

Philoid · Accepted Answer

Given:

a, b, c are in G.P.

To find:

Area of the triangle formed by the line ax + by + c = 0 with the coordinates axes.

Explanation:

The point of intersection of the line ax + by + c = 0 with the coordinate axis are (–c/a,0) and (0,-c/b).

So, the vertices of the triangle are (0, 0),

Let A be the area of the required triangle.

A

It is given that a, b and c are in GP.

∴ b² = ac

⇒ A

Hence, area A