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Mathematics
Problem
The equation of the straight line through the origin and parallel to the line
(
b
+
c
)
x
+
(
c
+
a
)
y
+
(
a
+
b
)
z
=
k
(b+c)x + (c+a)y + (a+b)z = k
(
b
+
c
)
x
+
(
c
+
a
)
y
+
(
a
+
b
)
z
=
k
and
(
b
−
c
)
x
+
(
c
−
a
)
y
+
(
a
−
b
)
z
=
k
(b-c)x + (c-a)y + (a-b)z = k
(
b
−
c
)
x
+
(
c
−
a
)
y
+
(
a
−
b
)
z
=
k
are a.
x
b
2
−
c
2
=
y
c
2
−
a
2
=
z
a
2
−
b
2
\frac{x}{b^2 - c^2} = \frac{y}{c^2 - a^2} = \frac{z}{a^2 - b^2}
b
2
−
c
2
x
=
c
2
−
a
2
y
=
a
2
−
b
2
z
b.
x
b
=
y
b
=
z
a
\frac{x}{b} = \frac{y}{b} = \frac{z}{a}
b
x
=
b
y
=
a
z
c.
x
a
2
−
b
c
=
y
b
2
−
c
a
=
z
c
2
−
a
b
\frac{x}{a^2 - bc} = \frac{y}{b^2 - ca} = \frac{z}{c^2 - ab}
a
2
−
b
c
x
=
b
2
−
c
a
y
=
c
2
−
ab
z
d. None of the above
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