Find the co-ordinates of point A which divides segment PQ in the ratio a : b, where P(2, 6), Q(-4, 1), a : b = 1 : 2.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: A(0, 13/3)

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

\[x=\frac{1(-4)+2(2)}{3}=0\]

\[y=\frac{1(1)+2(6)}{3}=\frac{13}{3}\]

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

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