Find the co-ordinates of point A which divides segment PQ in the ratio a : b, where P(-2, -5), Q(4, 3), a : b = 3 : 4.

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: A(4/7, -11/7)

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

\[x=\frac{3(4)+4(-2)}{7}=\frac47\]

\[y=\frac{3(3)+4(-5)}{7}=-\frac{11}{7}\]

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

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