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Question

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

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Solution

Slope of the line segment joining the points (3, -1) and (4, -2) ism1=y2y1x2x1=2(1)43=2+143=11=1Slope of x axis is 0If θ is the angle between x-axis and the line segment thentanθ=m1m21+m1m2=101+(1)(0)=11=1tan θ=1θ=tan1 (1)θ=3π4 θ=135


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