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Mathematics
Mathematics
Problem
The plane passing through the point
(
−
2
,
−
2
,
2
)
(-2, -2, 2)
(
−
2
,
−
2
,
2
)
and containing the line joining the points
(
1
,
1
,
1
)
(1, 1, 1)
(
1
,
1
,
1
)
and
(
1
,
−
1
,
2
)
(1, -1, 2)
(
1
,
−
1
,
2
)
makes intercepts of lengths
a
,
b
,
c
a, b, c
a
,
b
,
c
respectively on the axes of
x
,
y
x, y
x
,
y
and
z
z
z
respectively, then a.
a
=
3
b
a = 3b
a
=
3
b
b.
b
=
2
c
b = 2c
b
=
2
c
c.
a
+
b
+
c
=
12
a + b + c = 12
a
+
b
+
c
=
12
d.
a
+
2
b
+
2
c
=
0
a + 2b + 2c = 0
a
+
2
b
+
2
c
=
0
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