Q. 1 A4.8( 11 Votes )

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 = 12x

Answer :

Given equation : 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


Lenth of latusrectum : 4a = 4.(3) = 12



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