Determine whether the given points are collinear: P(1, 2), Q(2, 8/5), R(3, 6/5).

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: The points are collinear.

Slope \(=\dfrac{y_2-y_1}{x_2-x_1}\).

Slope of PQ \(=\dfrac{\frac85-2}{2-1}=-\dfrac25\); slope of QR \(=\dfrac{\frac65-\frac85}{3-2}=-\dfrac25\).

The slopes are equal and Q is common, so P, Q, R are collinear.

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

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