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Mathematics
Mathematics
Problem
A tangent to the ellipse
x
2
+
4
y
2
=
4
x^2 + 4y^2 = 4
x
2
+
4
y
2
=
4
meets the ellipse
x
2
+
2
y
2
=
6
x^2 + 2y^2 = 6
x
2
+
2
y
2
=
6
at
P
P
P
and
Q
Q
Q
. Prove that the tangents at
P
P
P
and
Q
Q
Q
of the ellipse
x
2
+
2
y
2
=
6
x^2 + 2y^2 = 6
x
2
+
2
y
2
=
6
are at right angles.
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