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Question

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


Solution

Given, (x1, y1)=(3, 1) and (x2, y2)=(4, 2)Slope of the line m=y2y1x2x1=2+143

tan θ=11 tan θ=1 tan θ=tan 45       ( 1=tan 45) tan θ=tan (18045)                    [ tan (180θ)= tan θ] tan θ=tan 135θ=135

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