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JEE Advanced Model Paper 14 with solutions for online practice
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© examsnet.com
Question : 58
Total: 60
The number of distinct terms in the expansion of
(
x
+
y
+
z
+
1
x
y
+
1
y
z
+
1
x
z
)
2
is m and that in the expansion of
(
x
+
y
+
z
+
1
x
+
1
y
+
1
z
)
2
is n , then |m - n| = ...
Your Answer:
Validate
Solution:
m = number of distinct terms in
[
Σ
x
2
+
Σ
1
x
2
y
2
+
2
Σ
x
y
+
2
Σ
1
x
y
2
z
+
4
Σ
1
x
+
2
Σ
x
y
z
]
= 18
n = number of distinct terms in
[
Σ
x
2
+
Σ
1
x
2
+
2
Σ
x
y
+
2
Σ
1
x
y
+
2
Σ
(
1
)
+
2
Σ
x
(
1
y
+
1
z
)
]
= 19
∴ |m - n| = 1
© examsnet.com
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