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Mathematics
Problem
Find the condition on 'a' and 'b' for which two distinct chords of the ellipse
x
2
2
a
2
+
y
2
2
b
2
=
1
\frac{x^2}{2a^2} + \frac{y^2}{2b^2} = 1
2
a
2
x
2
+
2
b
2
y
2
=
1
passing through
(
a
,
−
b
)
(a, -b)
(
a
,
−
b
)
are bisected by the line
x
+
y
=
b
x + y = b
x
+
y
=
b
.
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