Find angles between the lines \( \sqrt{3}x + y = 1\) and  \(x+ \sqrt{3}y\) = 1.

Asked by Pragya Singh | 1 year ago |  145

1 Answer

Solution :-

The lines are \( \sqrt{3}x + y = 1\) and \( x + \sqrt{3}y = 1\)

So, y = \( -\sqrt{3}x + 1\) … (1) and

y = \(-\dfrac{1}{\sqrt{3}}+\dfrac{1}{\sqrt{3}}\)…. (2)

Slope of line (1) is m1 =\( -\sqrt{3}\) , while the slope of line (2) is m2 = \( -\dfrac{1}{\sqrt{3}}\)

Let θ be the angle between two lines

Substitute the values, tan θ 

        

θ = 30°

The angle between the given lines is either 30° or 180°- 30° = 150°

Answered by Abhisek | 1 year ago

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