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Answer: Slope of PQ = slope of QR = \(-\frac{1}{3}\), so P, Q, R are collinear.

Slope of PQ \(= \dfrac{2 - 3}{1 - (-2)} = \dfrac{-1}{3}\).

Slope of QR \(= \dfrac{1 - 2}{4 - 1} = \dfrac{-1}{3}\).

The two slopes are equal and Q is a common point, so the three points lie on one line. Hence P, Q, R are collinear.

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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