Find the tangent of the angle between the lines which have intercepts 3, 4 and 1, 8 on the axes respectively.
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 .