Question

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

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

Solution

## The correct options are C x=−254 D x=254Given ellipse is x225+y29=1 Major axis is along the x−axis. a=5, b=3 Hence, equation of the directrix are, x=±ae Finding e,  e2=1−b2a2⇒e=√1625=45 Hence, the equation of the directrix are x=±254Mathematics

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