JEE Main 2019 Mathematics question
A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60º with the line x + y = 0. Then an equation of the line L is:
Answer: (C)
Solution
The normal makes 15° or 75° with the x-axis; x cos α + y sin α = 4 gives (C) for α = 15° and (D) for α = 75° (key: [3, 4]).