In the given triangle ABC, D is mid-point of AB. P is on AC such that PC=12AP and DE || BP. If AE=xAC, then find the value of x.

In the given triangle ABC, D is mid-point of AB. P is on AC such that

1.	In the given triangle ABC, D is mid-point of AB. P is on AC such that PC=12AP and DE \|\| BP. If AE=xAC, then find the value of x.
Answer» In the given triangle ABC, D is mid-point of AB. P is on AC such that $P C = \frac{1}{2} A P$ and $D E \| \| B P$ . If $A E = x A C$ , then find the value of $x$ .