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AP EAPCET 19-Aug-2021 Shift 2 Paper
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© examsnet.com
Question : 29
Total: 160
X intercept of the plane containing the line of intersection of the planes
x
−
2
y
+
z
+
2
=
0
and
3
x
−
y
−
z
+
1
=
0
and also passing through
(
1
,
1
,
1
)
is ______
1
3
2
1
2
1
4
Validate
Solution:
Equation of plane containing line of intersection of the given planes is
(
x
−
2
y
+
z
+
2
)
+
λ
(
3
x
−
y
−
z
+
1
)
=
0
This plane also passes through
(
1
,
1
,
1
)
.
∴
(
1
−
2
+
1
+
2
)
+
λ
(
3
−
1
−
1
+
1
)
=
0
⇒
λ
=
−
1
∴ Required plane
2
x
+
y
−
2
z
−
1
=
0
x-intercept of these plane is
(
x
,
0
,
0
)
⇒
2
x
−
1
=
0
x
=
1
2
© examsnet.com
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