Find the slope of the line, which makes an angle of 30° with the positive direction of y- axis measured anticlockwise

Solution:

If a line makes an angle of 30° with the positive direction of the y-axis measured anticlockwise, then the angle made by the line with the positive direction of the x-axis measured anticlockwise is 90° + 30° = 120°. We can understand this from the following figure.

Thus, the slope of the given line is

tan120° = tan (180° - 60°)

= - tan 60°

= - √3

NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.1 Question 7

Find the slope of the line, which makes an angle of 30° with the positive direction of y- axis measured anticlockwise

Summary:

The slope of the line, which makes an angle of 30 degrees with the positive direction of the y-axis measured anticlockwise is - √3