Answer :

Given:


Intercepts 3, 4 and 1, 8 on the axes


To find:


Tangent of the angle between the lines


Concept Used:


Angle between two lines.


Explanation:


The respective equations of the lines having intercepts 3, 4 and 1, 8 on the axes are


… (1)


… (2)


Assuming:


m1 and m2 be the slope of the lines (1) and (2), respectively.


m1, m2 = -8


Let θ be the angle between the lines (1) and (2).




Hence, the tangent of the angles between the lines is .


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