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

##### 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

### Related Questions

#### Find the angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1.

Find the angle between the line joining the points (2, 0), (0, 3) and the line x + y = 1.

#### Prove that the points (2, -1), (0, 2), (2, 3) and (4, 0) are the coordinates of the vertices

Prove that the points (2, -1), (0, 2), (2, 3) and (4, 0) are the coordinates of the vertices of a parallelogram and find the angle between its diagonals.

#### Find the acute angle between the lines 2x – y + 3 = 0 and x + y + 2 = 0.

Find the acute angle between the lines 2x – y + 3 = 0 and x + y + 2 = 0.