Question

Find the equation of a line passing through (2,5) and making and angle of 30° with the positive direction of the x-axis.

Answer 1

m = tan 30°

=`1/sqrt 3`

Equation of line is given by, 

`("y" - "y"_1)/("x" - "x"_1)` = m 

⇒ `("y" - 5)/("x" - 2) = 1/sqrt3`

⇒ x - 2 = `sqrt3"y" - 5sqrt3`

⇒ x - `sqrt3"y" - 2 + 5sqrt3 = 0`

⇒ `sqrt3"y" = "x" - 2 + 5sqrt3`