The given equation of parabola is
y2 = 10x, which is of the form y2 = 4ax.
∴ 4a = 10 ⇒ a =

10

4

⇒ a =

5

2

∴ Coordinates of focus are (

5

2

,0)
Axis of parabola is y = 0
Equation of the directrix is
x = −

5

2

⇒ 2x + 5 = 0
Length of latus rectum =

4×5

2

= 10.