Derivatives Of Functions In Parametric Forms

Step 1: Parametric equations of the first line:
The parametric equations of the first line are obtained by setting: From this, we get:
Step 2: Parametric equations of the second line:
For the second line, set:
Step 3: Condition for intersection:
For the two lines to intersect, their parametric forms must satisfy: Substitute the equations:
Step 4: Solve the system of equations:
From , we get: Substitute into : Simplify: Rearrange to find : Substitute into : Simplify: Combine terms: Multiply through by 2: Solve for :
Step 5: Find :
Substitute into : Simplify:
Final Answer: \end{enumerate}