Lines

We are given two parametric equations for two straight lines. The equations are:
1. This can be written as:
2. This can be written as: To find the intersection, we equate the two expressions for , , and .
Step 1: Equate the -coordinates
This simplifies to: which is a contradiction. Therefore, there is no solution to this equation.
Step 2: Equate the -coordinates
The same approach is used for the -coordinates. However, since we found the contradiction in the -coordinates, we can safely say that the lines do not intersect at a single point but may intersect at two possible values for . Thus, the correct answer is , and can have exactly two values.