A line passes through the point of intersection of the lines and and makes an equal intercept on the axes. Its equation is
Explanation for the correct option:
Step 1. Draw the figure according to the question:
Given the equation of lines are
Step 2. Solving (i) and (ii) to get the point of intersection of the lines.
and
Step 3. Finding the equation of the line
Let the equation of the line which passes through and having equal intercepts is
The value satisfy the equation.
So,
the required equation is
Hence option C is the answer.