Q2 of 319 Page 23

Find the equations to the straight lines which pass through the origin and are inclined at an angle of 750 to the straight line.

Given:


Equation passes through (0,0) and make an angle of 75° with the line


To find:


Equation of given line


Explanation:


We know that the equations of two lines passing through a point x1,y1 and making an angle α with the given line y = mx + c are



Here,
Equation of the given line is,





Comparing this equation with y = mx + c


We get,


∴ x1 = 0, y1 = 0, α = 75°, m


and tan75∘ = 2 +


So, the equations of the required lines are






Hence, Equation of given line is


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