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Byju's Answer
Standard X
Mathematics
Nature of Roots
If the roots ...
Question
If the roots of the equation
a
x
2
+
b
x
+
c
=
0
are equal, then then c = ?
(a)
-
b
2
a
(b)
b
2
a
(c)
-
b
2
4
a
(d)
b
2
4
a
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Solution
(d)
b
2
4
a
It is given that the roots of the equation (
a
x
2
+
b
x
+
c
=
0
)
are equal.
∴
(
b
2
−
4
a
c
)
=
0
⇒
b
2
=
4
a
c
⇒
c
=
b
2
4
a
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Q.
If ax
2
+ bx + c = 0 has equal roots, then c =
(a)
-
b
2
a
(b)
b
2
a
(c)
-
b
2
4
a
(d)
b
2
4
a