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Byju's Answer
Standard XII
Mathematics
Consistency of Linear System of Equations
If ax2-bx+c...
Question
If
a
x
2
−
b
x
+
c
=
0
have two digtinct roots lying in the interval
(
a
,
1
)
,
a
,
b
,
c
ϵ
N
them find the value of
log
x
a
b
c
?
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Solution
According to the problem:
For consistency of the problem assume
a
>
0
.
Therefore,
c
=
0
or
b
=
0
does not have roots of
f
(
x
)
=
a
x
2
−
b
x
+
c
in
(
0
,
1
)
Therefore
c
≥
1
and
b
≥
1
log
x
(
a
b
c
)
>
2
⇔
log
x
(
a
b
c
)
>
log
x
(
52
)
⇔
a
b
c
>
25.
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Consistency of Linear System of Equations
Standard XII Mathematics
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