Asked in: March 2024 and March 2025 board papers (same type with P(–2, 3), Q(1, 2), R(4, 1) in July 2024)Determine whether the points are collinear. A(1, –3), B(2, –5), C(–4, 7)

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: Yes, points A, B and C are collinear.

Slope of AB \(= \dfrac{-5 - (-3)}{2 - 1} = \dfrac{-2}{1} = -2\).

Slope of BC \(= \dfrac{7 - (-5)}{-4 - 2} = \dfrac{12}{-6} = -2\).

Slope of AB = slope of BC, and point B is common to both lines AB and BC.

\(\therefore\) Points A, B and C are collinear.

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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