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Mathematics
Mathematics
Problem
A plane passes through a fixed point
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
and cuts the axes in
A
,
B
,
C
A, B, C
A
,
B
,
C
. The locus of a point equidistant from origin,
A
,
B
A, B
A
,
B
and
C
C
C
must be a.
a
y
z
+
b
z
x
+
c
x
y
=
2
x
y
z
ayz + bzx + cxy = 2xyz
a
y
z
+
b
z
x
+
c
x
y
=
2
x
y
z
b.
a
x
+
b
y
+
c
z
=
1
\frac{a}{x} + \frac{b}{y} + \frac{c}{z} = 1
x
a
+
y
b
+
z
c
=
1
c.
a
x
+
b
y
+
c
z
=
2
\frac{a}{x} + \frac{b}{y} + \frac{c}{z} = 2
x
a
+
y
b
+
z
c
=
2
d.
a
x
+
b
y
+
c
z
=
3
\frac{a}{x} + \frac{b}{y} + \frac{c}{z} = 3
x
a
+
y
b
+
z
c
=
3
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