The angle between the lines 3 x - y - 2 = 0 and x - 3 y + 1 = 0 is

Question

The angle between the lines $\sqrt{3} x - y - 2 = 0$ and $x - \sqrt{3} y + 1 = 0$ is

Smart Achievers · Accepted Answer

(4)

$Let m_{1} and m_{2} are slopes of given lines$

$\Rightarrow$ $\tan θ = \frac{\sqrt{3} - \frac{1}{\sqrt{3}}}{1 + 1} = \frac{3 - 1}{2 \sqrt{3}} = \frac{1}{\sqrt{3}}$

$\Rightarrow$ $θ = \frac{π}{6} = 30 °$

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