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Mathematics
Mathematics
Problem
If the distance between the planes
8
x
+
12
y
−
14
z
=
2
8x + 12y - 14z = 2
8
x
+
12
y
−
14
z
=
2
and
4
x
+
6
y
−
7
z
=
2
4x + 6y - 7z = 2
4
x
+
6
y
−
7
z
=
2
can be expressed in the form
1
N
\frac{1}{\sqrt{N}}
N
1
, where
N
N
N
is natural, then the value of
N
(
N
+
1
)
2
\frac{N(N+1)}{2}
2
N
(
N
+
1
)
is a. 4950 b. 5050 c. 5150 d. 5151
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