Find the co-ordinates of point A which divides segment PQ in the ratio a : b, where P(-3, 7), Q(1, -4), a : b = 2 : 1.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: A(-1/3, -1/3)

Section formula: if P divides AB in the ratio \(m:n\), then \(P=\left(\dfrac{mx_2+nx_1}{m+n},\ \dfrac{my_2+ny_1}{m+n}\right)\).

\[x=\frac{2(1)+1(-3)}{3}=-\frac13\]

\[y=\frac{2(-4)+1(7)}{3}=-\frac13\]

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

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