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Mathematics
Problem
The standard ellipse
x
2
a
2
+
y
2
b
2
=
1
\dfrac{x^{2}}{a^{2}}+\dfrac{y^{2}}{b^{2}}=1
a
2
x
2
+
b
2
y
2
=
1
has semi-axes
a
a
a
and
b
b
b
. Which one of the following gives the length of its latus rectum? a)
2
b
2
a
\dfrac{2b^{2}}{a}
a
2
b
2
b)
b
2
a
\dfrac{b^{2}}{a}
a
b
2
c)
2
a
2
b
\dfrac{2a^{2}}{b}
b
2
a
2
d)
2
b
2b
2
b
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