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Problem
Problem
The number of solutions of the set of equations
2
x
2
a
2
−
y
2
b
2
−
z
2
c
2
=
0
,
x
2
a
2
+
2
y
2
b
2
−
z
2
c
2
=
0
,
x
2
a
2
−
y
2
b
2
+
2
z
2
c
2
=
0
\frac{2x^2}{a^2} - \frac{y^2}{b^2} - \frac{z^2}{c^2} = 0, \frac{x^2}{a^2} + \frac{2y^2}{b^2} - \frac{z^2}{c^2} = 0, \frac{x^2}{a^2} - \frac{y^2}{b^2} + \frac{2z^2}{c^2} = 0
a
2
2
x
2
−
b
2
y
2
−
c
2
z
2
=
0
,
a
2
x
2
+
b
2
2
y
2
−
c
2
z
2
=
0
,
a
2
x
2
−
b
2
y
2
+
c
2
2
z
2
=
0
is a. 6 b. 7 c. 8 d. 9
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