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JEE Main 27 June 2022 Shift 2 Solved Paper
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© examsnet.com
Question : 6
Total: 90
If
a
1
,
a
2
,
a
3
.
.
.
.
.
.
and
b
1
,
b
2
,
b
3
.
.
.
.
.
.
are A.P., and
a
1
=
2
,
a
10
=
3
,
a
1
b
1
=
1
=
a
10
b
10
, then
a
4
b
4
is equal to -
[27-Jun-2022-Shift-2]
35
27
1
27
28
28
27
Validate
Solution:
a
1
,
a
2
,
a
3
.
.
.
are in A.P. (Let common difference is
d
1
)
b
1
,
b
2
,
b
3
.
.
.
are in A.P. (Let common difference is
d
2
)
and
a
1
=
2
,
a
10
=
3
,
a
1
b
1
=
1
=
a
10
b
10
∵
a
1
b
1
=
1
∴
b
1
=
1
2
a
10
b
10
=
1
∴
b
10
=
1
3
Now,
a
10
=
a
1
+
9
d
1
⇒
d
1
=
1
9
b
10
=
b
1
+
9
d
2
⇒
d
2
=
1
9
[
1
3
−
1
2
]
=
−
1
54
Now,
a
4
=
2
+
3
9
=
7
3
b
4
=
1
2
−
3
54
=
4
9
∴
a
4
b
4
=
28
27
© examsnet.com
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