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Question
Find the co-ordinates of the focus, vertex, equation of the directrix, axis and the length of latus rectum of the parabola
y2 = 20x
Solution
y2 = 20x
y2 = 4(5)x
∴ a = 5
| Vertex | (0, 0) | (0, 0) |
| Focus | (a, 0) | (5, 0) |
| Axis | x-axis | y = 0 |
| Directrix | x + a = 0 | x + 5 = 0 |
| Length of Latus rectum | 4a | 20 |
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