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Mathematics
Problem
If the straight lines
x
−
1
k
=
y
−
2
2
=
z
−
3
3
and
x
−
2
3
=
y
−
3
k
=
z
−
1
2
\frac{x-1}{k} = \frac{y-2}{2} = \frac{z-3}{3} \text{ and } \frac{x-2}{3} = \frac{y-3}{k} = \frac{z-1}{2}
k
x
−
1
=
2
y
−
2
=
3
z
−
3
and
3
x
−
2
=
k
y
−
3
=
2
z
−
1
intersect at a point, then the integer
k
k
k
is equal to [AIEEE 2008] a.
−
2
-2
−
2
b.
−
5
-5
−
5
c.
5
5
5
d.
2
2
2
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