Find the angle between the x-axis and the line joining the points (3, - 1) and (4, - 2)

Solution:

The slope of the line joining the points (3, - 1) and (4, - 2) is

m = (- 2 - (- 1)) / (4 - 3)

= (- 2 + 1) / 1

= - 1

If the inclination of the line joining the points (3, - 1) and (4, - 2) is θ, then its slope is tanθ. Then,

tanθ = - 1

θ = (90° + 45°)

θ = 135°

Thus, the angle between the x-axis and the line joining the points (3, - 1) and (4, - 2) is 135°

NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.1 Question 10

Find the angle between the x-axis and the line joining the points (3, - 1) and (4, - 2)

Summary:

The angle between the axis and the line joining the points (3, - 1) and (4, - 2) is 135 degrees