Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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# Find the Slope of the Lines Which Make the Following Angle with the Positive Direction of X-axis: 2 π 3 - Mathematics

Answer in Brief

Find the slope of the lines which make the following angle with the positive direction of x-axis:

$\frac{2\pi}{3}$

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#### Solution

$\theta = \frac{2\pi}{3}$

$\therefore \text { Slope of the line } = m = \tan\theta$

$\Rightarrow \text { Slope of the line }= \tan\left( \frac{2\pi}{3} \right) = - \tan\left( \frac{\pi}{3} \right) = - \sqrt{3}$

Hence, the slope of the line is $- \sqrt{3}$.

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 23 The straight lines
Exercise 23.1 | Q 1.2 | Page 12
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