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UPSC NDA Math Model Paper 6
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© examsnet.com
Question : 61
Total: 120
What is the angle between the lines x + y = 1 and x - y = 1?
π / 6
π / 4
π / 3
π / 2
Validate
Solution:
Here, x + y = 1⇒ y = -x + 1
So,
m
1
=
−
1
and
x
−
y
=
1
⇒
y
=
x
−
1
So,
m
2
=
1
tan
θ
=
|
m
2
−
m
1
1
+
m
1
m
2
|
=
|
1
−
(
−
1
)
1
+
(
1
)
(
−
1
)
|
=
2
0
=
∞
∴
θ
=
π
2
Hence, option (4) is correct.
© examsnet.com
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