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AP EAMCET Engineering 18 Sep 2020 Shift 2 Paper
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© examsnet.com
Question : 29
Total: 160
The equation of the plane though the intersection of the planes
x
+
2
y
+
3
z
−
4
=
0
and
4
x
+
3
y
+
2
z
+
1
=
0
and passing through the origin is _______
17
x
+
14
y
+
11
z
=
0
7
x
+
4
y
+
z
=
0
x
+
14
y
+
11
z
=
0
17
x
+
y
+
z
=
0
Validate
Solution:
Required Equation of plane is given by,
(
x
+
2
y
+
3
z
−
4
)
+
λ
(
4
x
+
3
y
+
2
z
+
1
)
=
0
.....(i)
Since above plane passing through
(
0
,
0
,
0
)
−
4
+
λ
(
1
)
=
0
⇒
λ
=
4
Put
λ
=
4
in Eq. (i)
(
x
+
2
y
+
3
z
−
4
)
+
4
(
4
x
+
3
y
+
2
z
+
1
)
=
0
17
x
+
14
y
+
11
z
=
0
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