Home
Class 11
MATHS
Find the coordinates of the focus and th...

Find the coordinates of the focus and the vertex, the equations of the directix and the axis, and the lendth of the latus rectum of the parabola `y^(2)=8x`

Text Solution

Verified by Experts

The given equations is of the form `y^(2)=4ax`, where 4a=8, i.e. a=2
This is a right-handed parabola. Its focus `F(a,0),ie. F(2,0)` Its vertex is O(0,0). The equation of the direction is `x=-a,i.e.x=-2` Its axis is x-axis, whose equation is y=0. Length of latus recum `=4a=(4xx2)` units=8 units.
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the coordinates of the focus and the vertex, the equations of the directix and the axis, and the lendth of the latus rectum of the parabola y^(2)=-12x

Find the coordinates of the focus and the vertex, the equations of the directix and the axis, and the lendth of the latus rectum of the parabola x^(2)=6y

Find the coordinates of the focus and the vertex, the equations of the directix and the axis, and the lendth of the latus rectum of the parabola x^(2)=-16Y

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: (i) y^(2)=-8x (ii) y^(2)=-6x (iii) 5y^(2)=-16x

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: (i) y^(2)=12x (ii) y^(2)=10x (iii) 3y^(2)=8x

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: (i)x^(2)=16y (ii) x^(2)=10y (iii) 3x^(2)=8y

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: (i)x^(2)=-8y (ii) x^(2)=-18y (iii) 3x^(2)=-16y

Find the length of the latus rectum of the parabola x^(2) = -8y .