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JEE Main Math Class 11 Sets Part 1 Questions
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© examsnet.com
Question : 15
Total: 51
The number of elements in the set
{
n
∈
Z
:
|
n
2
−
10
n
+
19
|
<
6
}
is
[10-Apr-2023 shift 1]
Your Answer:
Validate
Solution:
−
6
<
n
2
−
10
n
+
19
<
6
⇒
n
2
−
10
n
+
25
>
0
and
n
2
−
10
n
+
13
<
0
(
n
−
5
)
2
>
0
5
−
3
√
2
<
n
<
5
+
3
√
2
N
∈
Z
−
{
5
}
n
=
{
2
,
3
,
4
,
5
,
6
,
7
,
8
}
.
.
.
(
i
)
.
.
.
(ii)
From (i)
∩
(
i
i
)
N
=
{
2
,
3
,
4
,
5
,
6
,
8
,
}
Number of values of
n
=
6
© examsnet.com
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