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Mathematics
Mathematics
Problem
- If
e
1
e_1
e
1
and
e
2
e_2
e
2
are the eccentricities of the conic sections
16
x
2
+
9
y
2
=
144
16x^2 + 9y^2 = 144
16
x
2
+
9
y
2
=
144
and
9
x
2
−
16
y
2
=
144
9x^2 - 16y^2 = 144
9
x
2
−
16
y
2
=
144
, then a.
e
1
2
−
e
2
2
=
1
e_1^2 - e_2^2 = 1
e
1
2
−
e
2
2
=
1
b.
e
1
2
+
e
2
2
<
3
e_1^2 + e_2^2 < 3
e
1
2
+
e
2
2
<
3
c.
e
1
2
+
e
2
2
=
3
e_1^2 + e_2^2 = 3
e
1
2
+
e
2
2
=
3
d.
e
1
2
+
e
2
2
>
3
e_1^2 + e_2^2 > 3
e
1
2
+
e
2
2
>
3
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