Point R (h, k) divided line segments between the axes in the ratio 1 : 2. Find the equation of the line.

Question

Philoid · Accepted Answer

Concept Used:

The equation of the line with intercepts a and b is

Given:

The line passes through R(h, k)

Explanation:

……(i)

The line intersects the coordinate axes at A(a, 0) and B( 0, b).

Here, AP : BP = 1 : 2

⇒a , b = 3k

Substituting, b = 3k in

⇒2kx + hy – 3hk = 0

Hence, the equation of the line is 2kx + hy – 3hk = 0