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JEE Main 9 Apr 2019 Paper 2 Solved Paper
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© examsnet.com
Question : 63
Total: 90
If the sum and product of the first three terms in an A.P are 33 and 1155, respectively, then a value of its 11
t
h
term is
-25
25
-35
-36
Validate
Solution:
Let “a” be the first term and “d” be common difference
Given
a
+
(
a
+
d
)
(
a
+
2
d
)
=
33
,
a
(
a
+
d
)
(
a
+
2
d
)
=
1155
3
(
a
+
d
)
=
33
a
(
a
+
2
d
)
=
105
a
+
d
=
11
(
11
−
d
)
(
11
+
d
)
=
105
d
=
−
4
(
or
)
d
=
+
4
For
d
=
−
4
a
+
d
=
11
a
=
15
11
t
h
term is
1
+
10
d
t
11
=
15
+
10
(
−
4
)
=
−
25
© examsnet.com
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