Consider the parallelogram ABCD where the point P is such th

Consider the parallelogram ABCD where the point P is such that AP:PD = 1 intersects CP at Q where DQ:QB =1:3. A Find the scalar m if CP = mCQ.

Solution

Ans m. Equal to. 4/3 triangle. Dpq is. Similar to triangle cpq hence Cq by pq is equal to bq by qd now dq by bq is 1by 3. Hence qb by dq is 3 by 1 hence cq by pq is 3 by 1 hence cq by cp is cq by cq plus pq is equal to 3 by 3 plus 1 hence cq by cp is equal to 3 by 4 now. Cq by cp is 1 by m therefore 1 by m is 3 by 4 hence m equal to 4 by 3 ans