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JEE Advanced 2016 Paper 1
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© examsnet.com
Question : 51
Total: 54
The total number of distinct
x
∊
R
for which
|
x
x
2
1
+
x
3
2
x
4
x
2
1
+
8
x
3
3
x
9
x
2
1
+
27
x
3
|
=
10
is
Your Answer:
Validate
Solution:
x
3
|
1
1
1
+
x
3
2
4
1
+
8
x
3
3
9
1
+
27
x
3
|
=
10
⇒
x
3
|
1
1
1
1
2
4
1
3
9
|
+
x
3
.
x
3
|
1
1
1
2
4
8
3
9
27
|
=
0
⇒
x
3
(
25
−
23
)
+
6
x
6
.2
=
10
⇒
6
x
6
+
x
3
−
5
=
0
⇒
x
3
=
5
6
,
−
1
two real solutions
© examsnet.com
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