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Mathematics
Mathematics
Problem
If the curves
x
2
4
+
y
2
=
1
\frac{x^2}{4} + y^2 = 1
4
x
2
+
y
2
=
1
and
x
2
a
2
+
y
2
=
1
\frac{x^2}{a^2} + y^2 = 1
a
2
x
2
+
y
2
=
1
for a suitable value of
a
a
a
cut on four concyclic points, the equation of the circle passing through these four points is a.
x
2
+
y
2
=
8
x^2 + y^2 = 8
x
2
+
y
2
=
8
b.
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
c.
x
2
+
y
2
=
2
x^2 + y^2 = 2
x
2
+
y
2
=
2
d.
x
2
+
y
2
=
1
x^2 + y^2 = 1
x
2
+
y
2
=
1
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