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Byju's Answer
Standard XII
Mathematics
Properties of Determinants
a^1/a=b^1/b=c...
Question
a^{1/a}=b^{1/b}=c^{1/c} and a^{bc}+b^{ca}+c^{ab}=729 then find value of b^{1/b
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Q.
If
A
1
A
=
B
1
B
=
C
1
C
and
A
B
C
+
B
C
A
+
C
A
B
=
729
, then the value of
B
1
B
is
Q.
If
A
1
/
A
=
B
1
/
B
=
C
1
/
C
,
A
B
C
+
B
A
C
+
C
A
B
=
729
Which of the following equals
A
1
/
A
Q.
Assertion :If
a
a
1
,
b
b
1
,
c
c
1
are in
A
.
P
then
a
1
,
b
1
,
c
1
are in
G
.
P
Reason: If
a
x
2
+
b
x
+
c
and
a
1
x
2
+
b
1
x
2
+
c
1
=
0
have a common root &
a
a
1
,
b
b
1
,
c
c
1
are in
A
.
P
then
a
1
,
b
1
,
c
1
are in
G
.
P
Q.
In an acute-angled triangle ABC, the altitudes from A,B and C when extended intersect the circumcircle again at points
A
1
,
B
1
,
C
1
, respectively. If
∠
A
B
C
=
45
o
then
∠
A
1
,
B
1
,
C
1
:
Q.
If
0
<
a
,
b
,
c
<
1
and
a
+
b
+
c
=
2
, then the greatest value of
a
1
−
a
×
b
1
−
b
×
c
1
−
c
is
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