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Mathematics
Problem
For two points
A
(
x
1
,
y
1
)
A(x_1, y_1)
A
(
x
1
,
y
1
)
and
B
(
x
2
,
y
2
)
B(x_2, y_2)
B
(
x
2
,
y
2
)
, under which one of the following conditions will the distance
A
B
AB
A
B
be exactly
∣
y
2
−
y
1
∣
|y_2 - y_1|
∣
y
2
−
y
1
∣
? a)
y
1
=
y
2
y_1 = y_2
y
1
=
y
2
b)
x
1
y
2
=
x
2
y
1
x_1 y_2 = x_2 y_1
x
1
y
2
=
x
2
y
1
c)
x
1
=
x
2
x_1 = x_2
x
1
=
x
2
d)
∣
x
2
−
x
1
∣
=
∣
y
2
−
y
1
∣
|x_2 - x_1| = |y_2 - y_1|
∣
x
2
−
x
1
∣
=
∣
y
2
−
y
1
∣
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