A line makes an angle of 30° with the positive direction of X-axis. So the slope of the line is ........ (A) 1/2 (B) √3/2 (C) 1/√3 (D) √3

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: (C) \(\dfrac{1}{\sqrt3}\)

Slope \(=\tan30^\circ=\dfrac{1}{\sqrt3}\). (\(\tfrac12\) is \(\sin30^\circ\), \(\tfrac{\sqrt3}{2}\) is \(\cos30^\circ\), and \(\sqrt3\) is \(\tan60^\circ\).)

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

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A line makes an angle of 30° with the positive direction of X-axis. So the slope of the line is ........ (A) 1/2 (B) √3/2 (C) 1/√3 (D) √3

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