Question
Download Solution PDFWhat is the focus of the parabola x2 = 16y ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Parabola: The locus of a point which moves such that its distance from a fixed point is equal to its distance from a fixed straight line. (Eccentricity = e =1)
|
Equation |
x2 = 4ay; |
|
Vertex |
(0, 0) |
|
Focus |
(0, a) |
|
Equation of the directrix |
y = -a |
|
Equation of the axis |
x = 0 |
|
Length of Latus rectum |
4a |
|
Focal distance |
y + a |
Calculation:
Given: x2 = 16y
⇒ x2 = 4 × 4 × y
Compare with standard equation of parabola x2 = 4ay
So, a = 4
Therefore, Focus = (0, a) = (0, 4)
Last updated on Jun 11, 2025
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