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Mathematics
Problem
Ellipse
E
1
E_{1}
E
1
is given by
x
2
36
+
y
2
16
=
1
\dfrac{x^{2}}{36}+\dfrac{y^{2}}{16}=1
36
x
2
+
16
y
2
=
1
and ellipse
E
2
E_{2}
E
2
by
x
2
25
+
y
2
9
=
1
\dfrac{x^{2}}{25}+\dfrac{y^{2}}{9}=1
25
x
2
+
9
y
2
=
1
. The ratio of the lengths of their latus recta
(
E
1
:
E
2
)
\,(E_{1}:E_{2})\,
(
E
1
:
E
2
)
is: a)
27
:
40
27:40
27
:
40
b)
27
:
25
27:25
27
:
25
c)
40
:
27
40:27
40
:
27
d)
4
:
3
4:3
4
:
3
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