Find the slopes of the lines which make the following angles with the positive direction of x – axis:

(i) \( \dfrac{– π}{4}\)

(ii) \( \dfrac{2\pi}{3}\)

Asked by Aaryan | 1 year ago |  126

1 Answer

Solution :-

(i) \( \dfrac{-\pi}{4}\)

Let the slope of the line be ‘m’

Where, m = tan θ

So, the slope of Line is m = tan (\( \dfrac{-\pi}{4}\))

= – 1

The slope of the line is – 1.

(ii) \( \dfrac{2\pi}{3}\)

Let the slope of the line be ‘m’

Where, m = tan θ

So, the slope of Line is m = tan (\( \dfrac{2\pi}{3}\))

tan (\( \dfrac{2\pi}{3}\)) = \( -\sqrt{3}\)

The slope of the line is \( -\sqrt{3}\)

Answered by Aaryan | 1 year ago

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