A line through the point A(2,0) which makes an angle of ` 30^(@)` with the positive direction of X-axis is rotated about A in clockwise direction through an angle of `15^(@)` . Then, the equation of the striaght line in the new position is

Options

A. `(2,-sqrt3) x+y -4+2sqrt3=0`
B. `(2-sqrt3)x-y+2sqrt3=0`
C. `(2-sqrt3) x-y+4+2sqrt3=0`
D. `(2-sqrt3) x+y+4+2sqrt3=0`

Answer

B

Explanation

The equation of line in new position is
` y - 0 = tan 15^(@) (x-2) Rightarrow y = (2 -sqrt3) (x-2)`
` Rightarrow (2-sqrt3) x-y-4+2 sqrt3 =0`