<p><strong>Ex. 53</strong> In parallelogram ABCD, M is a point on DC which divides DC in the ratio 1 : 2 and AM intersects BD at Q. Point Q divides DB in the ratio</p>
Step-by-Step Solution
Key Concept: Apply collinearity and section formula using position vectors to determine where line AM intersects diagonal BD.
Solution: Using similar vector analysis, when M divides DC in ratio 1:2 and AM intersects BD at Q, the point Q divides DB in the ratio 1:3. Thus, \(DQ = \frac{1}{4}DB\) and \(PB = \frac{1}{4}DB\).
Correct Answer: B