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Mathematics
Mathematics
Problem
Statement I
Director circle of hyperbola:
x
2
a
2
−
y
2
b
2
+
1
=
0
\frac{x^2}{a^2} - \frac{y^2}{b^2} + 1 = 0
a
2
x
2
−
b
2
y
2
+
1
=
0
is defined only when
b
≥
a
\text{ is defined only when } b \ge a
is defined only when
b
≥
a
Statement II
Director circle of hyperbola
x
2
25
−
y
2
9
=
1
\frac{x^2}{25} - \frac{y^2}{9} = 1
25
x
2
−
9
y
2
=
1
is
x
2
+
y
2
=
16
x^2 + y^2 = 16
x
2
+
y
2
=
16
.
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