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Question

The equation of the directrix of the ellipse x225+y29=1 is/are 


A
y=254
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B
y=254
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C
x=254
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D
x=254
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Solution

The correct options are
C x=254
D x=254
Given ellipse is x225+y29=1
Major axis is along the xaxis.
a=5, b=3
Hence, equation of the directrix are, x=±ae
Finding e
e2=1b2a2e=1625=45
Hence, the equation of the directrix are x=±254

Mathematics

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