Ex 10.1, 7
Find the slope of the line, which makes an angle of 30° with the positive direction of y-axis measured anticlockwise.
The line makes angle of 30° from positive y axis
Hence it makes angle of (90° + 30°) from positive x axis
i.e. 120° from positive x axis
Hence θ = 120°
Slope = m = tan θ
= tan 120°
= tan (180 – 60°)
= –tan 60°
= –√3
Hence, Slope of line = –√𝟑
(tan(180° – 𝜃) = –tan 𝜃)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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