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Find the Slope of the Lines Which Make the Following Angle with the Positive Direction of X-axis: π 3 - Mathematics

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Question

Find the slope of the lines which make the following angle with the positive direction of x-axis: \[\frac{\pi}{3}\]

Answer in Brief

Solution

\[\theta = \frac{\pi}{3}\]

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

\[ \Rightarrow \text { Slope of the line } = \tan\left( \frac{\pi}{3} \right) = \sqrt{3}\]

Hence, the slope of the line is \[\sqrt{3}\].

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Chapter 23: The straight lines - Exercise 23.1 [Page 12]

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RD Sharma Mathematics [English] Class 11
Chapter 23 The straight lines
Exercise 23.1 | Q 1.4 | Page 12

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