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JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 9 - MCQExams.com
JEE
Maths
Binomial Theorem And Mathematical Lnduction
Quiz 9
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None of these
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2)
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0%
None of the above
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2)
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0%
56
0%
55
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45
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15
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– 455
0%
–105
0%
105
0%
455
The coefficient of x
5
in the expansion of (1 + x)
21
+ (1 + x)
22
+...+ (1 + x)
30
is
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0%
51C5
0%
9C5
0%
31C6 - 21C6
0%
30C5 + 20C5
The coefficient of x
4
in the expansion of (1 + x + x
2
+ x
3
)
n
is
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2)
0%
0%
The greatest coefficient in the expansion of (1 + x)
2n+1
is
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0%
2)
0%
0%
In the expansion of (1 + x)
n
the coefficient of p
th
and (p + 1)
th
terms are respectively p and q. Then p + q =
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n + 3
0%
n + 1
0%
n + 2
0%
n
If the coefficients of x
2
and x
3
in the expansion of (3 + ax)
9
are the same, then the value of a is
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2)
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0%
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-7
0%
7
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2)
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0%
If in the expansion of (1 + x)
21
, the coefficients of x
r
and x
r+1
be equal , then r is equal to
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9
0%
10
0%
11
0%
12
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3/2
0%
5/4
0%
5/2
0%
None of these
In the expansion of (1 + 3x + 2x
2
)
6
the coefficient of x
11
is
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0%
144
0%
288
0%
216
0%
576
The interval in which x must lie so that the greatest term in the expansion of (1 + x)
2n
has the greatest coefficient , is
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2)
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0%
None of these
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2)
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0%
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1
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– 1
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– 48
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None of these
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10th
0%
9th
0%
8th
0%
7th
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2)
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0%
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0%
153090
0%
150000
0%
150090
0%
153180
The coefficient of middle term in the expansion of (1 + x)
10
is
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0%
2)
0%
0%
None of these
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0%
0
0%
1
0%
1/4
0%
1/2
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0%
2)
0%
0%
None of these
The coefficient of the middle term in the expansion of (x + 2y)
6
is
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0%
0%
2)
0%
0%
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0%
9
0%
10
0%
8
0%
7
The coefficients of the (r – 1)
th
, r
th
and (r + 1)
th
terms in the expansion of (x + 1)
n
are in the ratio 1 : 3 : 5. The pair (n,r) is
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(6,3)
0%
(7,3)
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(5,3)
0%
(5,1)
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None of these
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None of these
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None of these
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2)
0%
0
0%
None of these
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0%
2)
0%
0%
None of these
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0%
14.214
0%
13.214 + 1
0%
13.214 – 1
0%
None of these
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0%
0%
2)
0%
0%
In the expansion of (1 + x)
n
the sum of coefficients of odd powers of x is
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2n + 1
0%
2n – 1
0%
2n
0%
2n–1
If the sum of the coefficient in the expansion of (x – 2y + 3z)
n
is 128 then the greatest coefficient in the expansion of (1 + x)
n
is
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0%
35
0%
20
0%
10
0%
None of these
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0%
32
0%
63
0%
64
0%
None of these
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0%
a
0%
0
0%
a2
0%
2n
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2)
0%
0%
None of these
If the sum of the coefficients in the expansion of (α
2
x
2
– 2αx + 1)
51
vanishes, then the value of α is
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0%
2
0%
–1
0%
1
0%
–2
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nxy
0%
nx(x + yn)
0%
nx(nx + y)
0%
None of these
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None of these
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