Find the equation of the straight line passing through the origin and bisecting the portion of the line ax + by + c = 0 intercepted between the coordinate axes.

Concept Used:

The equation of the line passing through the origin is y = mx

To find:

Equation of the straight line passing through the origin and bisecting the portion of a line intercepted between the coordinate axes.

Assuming:

The line ax + by + c = 0 meets the coordinate axes at A and B.

Explanation:

So, the coordinate of A and B are A() and B (0,)

Now,

The midpoint of AB is

⇒ m

Hence, the equation of the required line is

y

⇒ ax – by = 0