A straight line drawn through the point `P(2,3)` and is incline at an angle of `30^@` with the x-axis. Find the coordinates of two points on it a distance 4 from `P` on either side of `Pdot`

Explanation

Equation of a line in parametric form is, `(x_1pm r costheta,y_1 \pm r sin theta)`

Here, `(x_1,y_1)=(2,3), r=4` and `theta=30^@`

Putting all the values in the equation, we get

`(2 \pm 4cos30^@,3 pm 4sin30^@)`

`\implies(2pm2sqrt3,3pm2)`

`\implies (2+2sqrt3,5),(2-2sqrt3,5)`