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Byju's Answer
Standard XII
Mathematics
Discriminant
If x2-4x+log1...
Question
If
x
2
−
4
x
+
l
o
g
1
2
a
=
0
does not have two distinct real roots, then maximum value of a is
A
1
4
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B
1
16
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C
1
−
4
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D
none of these
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Solution
The correct option is
B
1
16
x
2
−
4
x
+
l
o
g
1
2
a
=
0
16
−
4
l
o
g
1
2
a
≤
0
4
≤
l
o
g
1
2
a
l
o
g
1
2
a
≥
l
o
g
1
2
(
1
2
)
4
a
≤
1
16
and
a
≥
0
a
∈
(
0
,
1
16
]
Maximum value of
a
=
1
16
Suggest Corrections
0
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