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Mathematics
Problem
If the ellipse
x
2
4
+
y
2
=
1
\frac{x^2}{4} + y^2 = 1
4
x
2
+
y
2
=
1
meets the ellipse
x
2
+
y
2
a
2
=
1
in four distinct points and
a
=
b
2
−
5
b
+
7
,
then
b
x^2 + \frac{y^2}{a^2} = 1 \text{ in four distinct points and } a = b^2 - 5b + 7, \text{ then } b
x
2
+
a
2
y
2
=
1
in four distinct points and
a
=
b
2
−
5
b
+
7
,
then
b
belongs to a.
(
1
,
4
)
(1, 4)
(
1
,
4
)
b.
(
−
∞
,
2
)
∪
(
3
,
∞
)
(-\infty, 2) \cup (3, \infty)
(
−
∞
,
2
)
∪
(
3
,
∞
)
c.
(
2
,
3
)
(2, 3)
(
2
,
3
)
d. None of these
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