Joint equation of pair of lines through and parallel to is
Explanation for the correct option:
Step 1: Finding the values of and
Given the equation is,
The given line is a combination of two lines, hence it can be written as,
Let the slope of the equation is .
Similarly, the slope of the equation is
Let the line parallel to the equation be
Let the line parallel to the equation be
These lines pass through a point .
Step 2: Finding the values of and
Substituting the value in equation and we get,
From equation
From equation
Therefore the equation will become
Similarly, the equation will become
Step 3: Finding the equation of line
Now combined equation of and will be
This is the joint equation of pair of lines passing through and parallel to .
Hence, option (A) is the correct answer.