Determine whether the given points are collinear: A(0, 2), B(1, -0.5), C(2, -3).

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 AB \(=\dfrac{-0.5-2}{1-0}=-2.5\); slope of BC \(=\dfrac{-3+0.5}{2-1}=-2.5\).

The slopes are equal and B is common, so A, B, C are collinear.

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

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