A straight line passes through the point (α, β) and this point bisects the portion of the line intercepted between the axes. Show that the equation of the straight line is .

Question

Philoid · Accepted Answer

Concept Used:

The equation of the line with intercepts a and b is

Given:

The line intersects the axis at A (a, 0) and B ( b, 0)

Explanation:

Here, ( α, β) is the midpoint of AB

⇒ α , β

⇒ α, β

Hence, The equation is