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Answer: (0, 2) and (-2, -3)

The points of trisection P and Q divide AB in the ratios 1 : 2 and 2 : 1.

P (1 : 2): \(x=\dfrac{1(-4)+2(2)}{3}=0\), \(y=\dfrac{1(-8)+2(7)}{3}=2\). So P(0, 2).

Q (2 : 1): \(x=\dfrac{2(-4)+1(2)}{3}=-2\), \(y=\dfrac{2(-8)+1(7)}{3}=-3\). So Q(-2, -3).

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