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AMC 12/AHSME
1966 AMC 12/AHSME
17
Examining two Graphs
Examining two Graphs
Source:
March 22, 2006
conics
ellipse
Problem Statement
The number of distinct points common to the curves
x
2
+
4
y
2
=
1
x^2+4y^2=1
x
2
+
4
y
2
=
1
and
4
x
2
+
y
2
=
5
4x^2+y^2=5
4
x
2
+
y
2
=
5
is:
(A)
0
(B)
1
(C)
2
(D)
3
(E)
4
\text{(A)} \ 0 \qquad \text{(B)} \ 1 \qquad \text{(C)} \ 2 \qquad \text{(D)} \ 3 \qquad \text{(E)} \ 4
(A)
0
(B)
1
(C)
2
(D)
3
(E)
4
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