The line joining two points A(2,0) and B(3,1) is rotated about A in anticlockwise direction through an angle of `15^@`. find the equation of line in the new position. If b goes to c in the new position what will be the coordinates of C.
A. `(2+(1)/(sqrt(2)),sqrt(3))`
B. `(2+(1)/(sqrt(2)),(sqrt(3))/(2))`
C. `(2+(1)/(sqrt(2)),(sqrt(3))/(2))`
D. `(2-(1)/(sqrt(2)),-(sqrt(3))/(2))`