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UPSC NDA II 2014 Mathematics Question Paper with Answers Online
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Question : 1
Total: 120
Every quadratic equation
a
x
2
+
b
x
+
c
=
0
where
a
,
b
,
c
∊
R
,
a
≠
0
has
[NDA II 2014]
exactly one real root
at least one real root.
at least two real roots
at most two real roots.
Validate
Solution:
A quadratic equation has two roots; either both real or both imaginary.
Hence, every quadratic equation has at most two real roots.
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