Straight Line Question 401

Question: If the co-ordinates of the points A and B be (1, 0) and $ (2,\sqrt{3}) $ , then the angle made by the line AB with x-axis is

Options:

A) $ 30^{o} $

B) $ 45^{o} $

C) $ 60^{o} $

D) $ 75^{o} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Slope of the line is, $ \tan \theta =\frac{y_2-y_1}{x_2-x_1}=\frac{\sqrt{3}-0}{2-1} $ $ =\sqrt{3} $
    Þ $ \theta ={{\tan }^{-1}}\sqrt{3}=60^{o} $ .