Find the ratio in which point T(-1, 6) divides the line segment joining the points P(-3, 10) and Q(6, -8).

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: 2 : 7

Let T divide PQ in the ratio \(m:n\). Using the x-coordinate:

\[-1=\frac{6m-3n}{m+n}\]

\[-m-n=6m-3n\ \Rightarrow\ 2n=7m\ \Rightarrow\ \frac mn=\frac27\]

Check with y: \(\dfrac{2(-8)+7(10)}{9}=\dfrac{54}{9}=6\). So PT : TQ = 2 : 7.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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