NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 21
Total: 71
x2 = –9y
Solution:  
The given equation of parabola is x2 = –9y,
which is of the form x2 = –4ay.
∴ 4a = 9 ⇒ a =
9
4

∴ Coordinates of focus are (0,
9
4
)

Axis of parabola is x = 0
Equation of the directrix is y =
9
4
⇒ 4y - 9 = 0
Length of latus rectum = 4 ×
9
4
= 9.
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