Question
Download Solution PDFFind the equation of the directrix of the parabola \(\rm x^2=52y\)
Answer (Detailed Solution Below)
y = -13
Detailed Solution
Download Solution PDFConcept:
|
Standard equation of a parabola |
Focus |
Directrix |
Vertex |
|
(x - h)2 = 4p(y - k) |
(h, k + p) |
y = k – p |
(h, k) |
|
(y - k)2 = 4p(x - h) |
(h + p, k) |
x = h - p |
(h, k) |
Calculation:
Here \(\rm x^2=52y\)
On comparing with standard equation of parabola (x - h)2 = 4p(y - k), we get
h = 0, k = 0, p = 13
Equation of directrix: y = k – p
⇒ y = -13
Hence, option (4) is correct.
Last updated on Jun 20, 2025
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