If the ratio of gradients of the lines represented by is then the value of the ratio is
Explanation for correct option:
Step 1: Use the relationship between the slopes of lines represented by homogeneous equations
Let and be the slopes of the lines given by
We know that the sum of the slopes of lines represented by the equation is and their product is given by .
and
Step 2: Eliminate and from and
It is given that the ratio of the slope of the given lines is
Substituting the value of in , we get
Substituting the value of and in , we get
Thus, option (C) is correct option.