Discussion

Explanation:

Coordinates of a point dividing (x₁, y₁) and (x₂, y₂) in the ratio a : b externally is given by $\left[\frac{b{x}_1-a{x}_2}{a-b}, \frac{b{y}_1-a{y}_2}{a-b}\right]$

∴ The coordinates of point P are $\left[\frac{2\times 3-1\times 2}{2-1}, \frac{2\times 5-1\times -6}{2-1}\right]$ = (4, 16)

Hence, option (a).

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