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Quantitative Aptitude
Quadratic Equations
Equation ax 2...
Question
Equation
a
x
2
+
2
x
+
1
has one double root if:
A
a = 0
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B
a = -1
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C
a = 1
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D
a = 2
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Solution
The correct option is
C
a = 1
One double root means a single root appears two times i.e., two roots are equal.
∴
D
=
0
⇒
(
2
)
2
−
4
a
.1
=
0
⇒
a
=
1.
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Similar questions
Q.
If the equation ax
2
+ 2x + a = 0 has two distinct roots, if
(a) a = Ā±1
(b) a = 0
(c) a = 0, 1
(d) a = ā1, 0