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UPSC NDA I 2010 Mathematics Paper
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© examsnet.com
Question : 40
Total: 120
The planes
p
x
+
2
y
+
2
z
−
3
=
0
and
2
x
−
y
+
z
+
2
=
0
intersect at an angle
π
∕
4
. What is the value of
p
2
?
24
12
6
3
Validate
Solution:
cos
π
∕
4
=
2
p
−
2
+
2
√
p
2
+
4
+
4
×
√
4
+
1
+
1
⇒
1
√
2
=
2
p
√
p
2
+
8
×
√
6
or
1
2
=
4
p
2
6
p
2
+
48
or
6
p
2
+
48
=
8
p
2
or
p
2
=
24
© examsnet.com
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