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UPSC NDA Math Model Paper 4
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© examsnet.com
Question : 116
Total: 120
If tan x + tan y = 25 and cot x + cot y = 30, then tan (x + y) equals to
100
150
250
200
Validate
Solution:
Given:
tan
x
+
tan
y
=
25
cot
x
+
cot
y
=
30
⇒
1
tan
x
+
1
tan
y
=
30
⇒
tan
x
+
tan
y
tan
x
tan
y
=
30
⇒
25
tan
x
tan
y
=
30
⇒
tan
x
tan
y
=
25
30
=
5
6
∴
tan
(
x
+
y
)
=
tan
x
+
tan
y
1
−
tan
x
tan
y
=
25
1
−
5
6
=
150
© examsnet.com
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