Question

A line making an angle 30° with positive x-axis at (4, 0). Now it is rotated by an angle 15° in clockwise direction. The equation of line is

(1) x + y - 4 = 0

(2) x -  y- 4 = 0

(3) (√3 - 2)x + y + 8 - 4√3 = 0

(4) (2 - √3)x - y - 8 + 4√3 = 0

Answer 1

Correct option is (4) (2 - √3)x - y - 8 + 4√3 = 0

\(\theta\) = 30° - 15°

Line y - 0 = tan15° (x - 4)

(2-√3)x - y - 8 + 4√3 = 0