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JEE Advanced 2012 Paper 2 Mathematics Q1
Mathematics
Problem
The equation of a plane passing through the line of intersection of the planes
x
+
2
y
+
3
z
=
2
x+2y+3z=2
x
+
2
y
+
3
z
=
2
and
x
−
y
+
z
=
3
x-y+z=3
x
−
y
+
z
=
3
and at a distance
2
3
\dfrac{2}{\sqrt3}
3
2
from the point
(
3
,
1
,
−
1
)
(3,1,-1)
(
3
,
1
,
−
1
)
is
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