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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: {y^2} = 12x
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: {y^2} = 12x

Answer:

 

 

 

 

 

Given,

y2= 12x

Comparing given equation with parabola having equation,

y2 = 4ax

4a = 12

a = 3

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

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

Equation of the directrix : x+a=0

x+3=0

x = -3

Length of latus rectum : 4a => 4(3) => 12

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