Question
Download Solution PDFFind the equation of latus rectum of parabola x2 = 44y.
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 |
|
Equation of Latus rectum |
y = a |
|
Length of Latus rectum |
4a |
Calculation:
Given: x2 = 44y
Comparing equation with x2 = 4ay
4a = 44
a = 11
A line passing through focus perpendicular to the axis is the latus rectum.
The equation of the latus rectum is y = a
y = 11
Last updated on Jul 4, 2025
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