Jee Main 2025 — Medium JEE math MCQ
Let the point \( A \) divide the line segment joining the points \( P(-1,-1,2) \) and \( Q(5,5,10) \) internally in the ratio \( r : 1(r > 0) \). If \( O \) is the origin and \( \overrightarrow{OQ} \cdot \overrightarrow{OA} = \frac{1}{5} |\overrightarrow{OP} \times \overrightarrow{OA}|^2 \) = 10, then the value of \( r \) is
- A. \( \sqrt{7} \)
- B. 14
- C. 3
- D. 7
Solution
The correct option is **D**. (D. 7)
