Find the coordinates of the focus and the vertex, the equations of the directrix and the axis, and length of the latus rectum of the parabola:
y2 = 10x
Given equation : y2 = 10x
Comparing given equation with parabola having equation,
y2 = 4ax
4a = 10
• a =2.5
Focus : F(a,0) = F(2.5,0)
Vertex : A(0,0) = A(0,0)
Equation of the directrix : x+a=0
• x+2.5=0
• x = -2.5
Lenth of latusrectum : 4a = 4.(2.5) = 10