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Home » 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 :
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 : {3x^2} = 8y
CBSE | Class 11 | Exercise 22 | Maths | Parabola | RS Aggarwal
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 : {3x^2} = 8y

Answer:

 

 

 

 

 

Given,

3x2 = 8y

x2 = 8/3 y

Comparing the given equation with parabola having an equation,

x2 = 4ay

4a = 8/3

a = 2/3

Focus : F(0, a) = F(0, 2/3)

Vertex : A(0,0) = A(0,0)

Equation of the directrix :

y + a = 0

y + 2/3 = 0

y = -2/3

Length of latus rectum : 4a = 8/3

 

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