NCERT Class XI Mathematics - Conic Sections - Solutions

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Question : 17
Total: 71
x2 = 6y
Solution:  
The given equation of parabola is x2 = 6y,
which is of the form x2 = 4ay.
∴ 4a = 6 ⇒ a =
3
2

∴ Coordinates of focus are (0,
3
2
)

Axis of parabola is x = 0
Equation of the directrix is y =
3
2
⇒ 2y + 3 = 0
Length of latus rectum =
4×3
2
= 6
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