Find the distance between the points P (–1, 1) and Q (5, –7).

Q.2 (B)(iv) Find the distance between the points P (–1, 1) and Q (5, –7).

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: \(d(P, Q) = 10\) units

By the distance formula,

\(d(P, Q) = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} = \sqrt{(5 - (-1))^2 + (-7 - 1)^2}\)

\(= \sqrt{6^2 + (-8)^2} = \sqrt{36 + 64} = \sqrt{100} = 10\) units.

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

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