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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 : {x^2} = 10y
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 : {x^2} = 10y

Answer:

 

 

 

 

Given,

x2 = 10y

Comparing given equation with parabola having equation,

x2 = 4ay

4a = 10

a = 5

Focus : F(0,a) = F(0,2.5)

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

Equation of the directrix : y + a = 0

y + 2.5 = 0

y = -2.5

Length of latus rectum : 4a = 10

 

 

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