Find the angle between X-axis and the line joining the points (3,… - Vidyadip

Question

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

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Answer

Let the given points be (3, -1) and (4, -2).
$\therefore$ Slope of $\text{AB}=\frac{-2+1}{4-2}=-1$
Let $\theta$ be the angle between the x axis and AB.
$\therefore \tan\theta =-1$
$\Rightarrow\theta=\tan^{-1}(-1)=\frac{3\pi}{4}$
Hence, the angle between the x axis and the line joining the points (3, -1) and (4, -2) is $\frac{3\pi}{4}.$

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