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KCET 2020 Math Solved Paper
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© examsnet.com
Question : 57
Total: 60
If
a
1
,
a
2
,
a
3
,
.
.
.
.
.
.
,
a
9
are in A.P. then the value of
|
a
1
a
2
a
3
a
4
a
5
a
6
a
7
a
8
a
9
|
is
1
9
2
(
a
1
+
a
9
)
a
1
+
a
9
log
e
(
log
e
e
)
Validate
Solution:
Let 𝑑 be the common difference of A.P.
Then,
Δ
=
|
a
1
a
2
a
3
a
4
a
5
a
6
a
7
a
8
a
9
|
=
|
a
1
a
1
+
d
a
1
+
2
d
a
1
+
3
d
a
1
+
4
d
a
1
+
5
d
a
1
+
6
d
a
1
+
7
d
a
1
+
8
d
|
Applying
C
2
→
C
2
−
C
1
and
C
3
→
C
3
−
C
2
Δ
=
|
a
1
d
d
a
1
+
3
d
d
d
a
1
+
6
d
d
d
|
=
0
(
∵
C
2
and
C
3
are identical)
=
log
e
(
log
e
e
)
(
∵
log
e
1
=
0
)
© examsnet.com
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