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EAMCET Engineering 2003 Solved Paper
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© examsnet.com
Question : 103
Total: 160
A plane
π
makes intercepts 3 and 4 respectively on
Z
-axis and
X
-axis. If
π
is parallel to
Y
-axis, then its equation is :
3
x
+
4
z
=
12
3
z
+
4
x
=
12
3
y
+
4
z
=
12
3
z
+
4
y
=
12
Validate
Solution:
Given that
a
=
4
,
c
=
3
Equation of the plane '
π
' is
x
a
+
y
b
+
z
b
=
1
⇒
x
4
+
y
b
+
z
3
=
1
Since,
π
is parallel to
Y
-axis.
∴
0
⋅
1
a
+
1
⋅
1
b
+
0
⋅
1
c
√
1
a
2
+
1
b
2
+
1
c
2
=
0
⇒
1
b
=
0
Thus, the equation of plane
π
is
x
4
+
z
3
=
1
⇒
3
x
+
4
z
−
12
=
0
© examsnet.com
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