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UPSC NDA 2 2012 Mathematics Paper
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© examsnet.com
Question : 59
Total: 120
What are the direction ratios of the line of intersection of the planes
x
=
3
z
+
4
and
y
=
2
z
−
3
?
⟨
1
,
2
,
3
⟩
⟨
2
,
1
,
3
⟩
⟨
3
,
2
,
1
⟩
⟨
1
,
3
,
2
⟩
Validate
Solution:
x
=
3
z
+
4
and
y
=
2
z
−
3
⇒
x
−
4
3
=
z
and
y
+
3
2
=
z
⇒
x
−
4
3
=
y
+
3
2
=
z
1
∴
Direction ratios are proportional to
<
3
,
2
,
1
>
.
© examsnet.com
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