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Mathematics
Problem
Find the condition for the lines
A
x
2
+
2
H
x
y
+
B
y
2
=
0
Ax^2 + 2Hxy + By^2 = 0
A
x
2
+
2
H
x
y
+
B
y
2
=
0
to be conjugate diameters of
x
2
a
2
−
y
2
b
2
=
1.
\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1.
a
2
x
2
−
b
2
y
2
=
1.
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