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UPSC 2016 CDS-I Math Solved Paper
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© examsnet.com
Question : 1
Total: 100
If the roots of the equation
l
x
2
+
m
x
+
n
=
0
are in the ratio
p
:
q
,
then
√
p
q
+
√
q
p
+
√
m
l
is equal to
[2016 CDS-I]
0
1
2
3
Validate
Solution:
Let the roots of the equation be kp and kq.
∴
k
p
+
k
q
=
−
m
l
⇒
p
+
q
=
−
m
k
l
k
p
×
k
q
=
m
l
⇒
p
q
=
m
k
2
l
∴
√
p
q
+
√
q
p
+
√
m
l
=
p
+
q
√
p
q
+
√
m
l
=
−
m
k
l
√
m
k
2
l
+
√
m
l
=
0
=
−
√
m
l
+
√
m
l
=
0
© examsnet.com
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