A line passes through point P(4,5) and makes `30^@` with X-axis. Then the coordinates of the point which is at distance of 4 unit on either side of P is : a. `(4-2sqrt(3),7)` b. `(4+2sqrt(3),7)`,`(4-2sqrt(3),7)` c. `(4+2sqrt(3),7)`,`(4-2sqrt(3),3)` d. `(4-2sqrt(3),7)`,`(4-2sqrt(3),7)`

Options

A. `(4-2sqrt(3),7)`
B. `(4pm2sqrt(3),7)`
C. `(4+2sqrt(3),7),(4-2sqrt(3),3)`
D. `(4-2sqrt(3),7),(4-2sqrt(3),7)`

Answer

C