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Mathematics
Problem
The shortest distance between the two lines
L
1
:
x
=
k
1
,
y
=
k
2
L_1: x = k_1, y = k_2
L
1
:
x
=
k
1
,
y
=
k
2
and
L
2
:
x
=
k
3
,
y
=
k
4
L_2: x = k_3, y = k_4
L
2
:
x
=
k
3
,
y
=
k
4
is equal to a.
k
1
2
+
k
2
2
−
k
3
2
−
k
4
2
\sqrt{k_1^2 + k_2^2 - k_3^2 - k_4^2}
k
1
2
+
k
2
2
−
k
3
2
−
k
4
2
b.
k
1
k
3
+
k
2
k
4
\sqrt{k_1 k_3 + k_2 k_4}
k
1
k
3
+
k
2
k
4
c.
(
k
1
+
k
3
)
2
+
(
k
2
+
k
4
)
2
\sqrt{(k_1 + k_3)^2 + (k_2 + k_4)^2}
(
k
1
+
k
3
)
2
+
(
k
2
+
k
4
)
2
d.
(
k
1
−
k
3
)
2
+
(
k
2
−
k
4
)
2
\sqrt{(k_1 - k_3)^2 + (k_2 - k_4)^2}
(
k
1
−
k
3
)
2
+
(
k
2
−
k
4
)
2
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