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Question
Find the ratio in which point T(–1, 6)divides the line segment joining the points P(–3, 10) and Q(6, –8).
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Solution
Let the ratio be k : 1.
Using section formula we have
\[- 1 = \frac{6k - 3 \times 1}{k + 1}\]
\[ \Rightarrow - k - 1 = 6k - 3\]
\[ \Rightarrow - 1 + 3 = 6k + k\]
\[ \Rightarrow 2 = 7k\]
\[ \Rightarrow k = \frac{2}{7}\]
Thus, the required ratio is 2 : 7.
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