If the slopes of one of the lines given by is times the other, then
Explanation of correct option.
Step 1: Use the relation between slopes and coefficient of a pair of lines represented by a second-degree equation
Let the slope of one of the line represented by the equation be , then the slope of another line will be
We know that for the pairs of the equation represented by ,
The product of the slopes of two lines
The sum of the slopes of the two lines
But the slopes of two lines are and
and
Step 2: Eliminate from both equations and
From , we have
From , we have
Squaring and equating to , we get
Hence, Option (A) is the correct answer.