Advertisements
Advertisements
Question
Find the co-ordinates of the focus, vertex, equation of the directrix, axis and the length of latus rectum of the parabola
x2 = 8y
Advertisements
Solution
x2 = 8y
x2 = 4(2)y
∴ a = 2
| Vertex | (0, 0) | (0, 0) |
| Focus | (0, a) | (0, 2) |
| Axis | y-axis | x = 0 |
| Directrix | y + a = 0 | y + 2 = 0 |
| Length of Latus rectum | 4a | 8 |
APPEARS IN
RELATED QUESTIONS
The parabola y2 = kx passes through the point (4, -2). Find its latus rectum and focus.
Find the co-ordinates of the focus, vertex, equation of the directrix, axis and the length of latus rectum of the parabola
x2 = - 16y
The double ordinate passing through the focus is:
Find the equation of the ellipse in the cases given below:
Foci `(+- 3, 0), "e"+ 1/2`
Identify the type of conic and find centre, foci, vertices, and directrices of the following:
`y^2/16 - x^2/9` = 1
Prove that the length of the latus rectum of the hyperbola `x^2/"a"^2 - y^2/"b"^2` = 1 is `(2"b"^2)/"a"`
Identify the type of conic and find centre, foci, vertices, and directrices of the following:
`(x - 3)^2/225 + (y - 4)^2/289` = 1
Choose the correct alternative:
The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half the distance between the foci is
Which statement best describes a focal chord in any conic section?
The latus-rectum of a conic section is:
