Question

Find the combined equation of lines passing through the origin and each of which making angle 60° with the Y- axis.

Answer 1

Let OA and OB be the lines through the origin making an angle of 60° with the Y-axis.

Then OA and OB make an angle of 30° and 150° with the positive direction of X-axis.

∴ slope of OA = tan 30° = 1/√3

∴ equation of the line OA is

Slope of OB = tan 150° = tan (180° – 30°)

= tan 30° = -1/√3

∴ equation of the line OB is

∴ required combined equation is