Q2 B of 18 Page 741

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 = -6x


Given equation :


y2 = -6x


Comparing given equation with parabola having equation,


y2 = - 4ax


4a = 6


•


Focus : F(-a,0)


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


Equation of the directrix : x – a = 0


•


•


Lenth of latusrectum : 4a = 6



More from this chapter

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1 C

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:

3y2 = 8x


 2 A

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 = -8x


 2 C

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 :

5y2 = -16x


 3 A

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 :

x2 = 16y