JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 10

Maths-Binomial Theorem and Mathematical lnduction-12124.png

0%
15
0%
–15
0%
0
0%
51

Maths-Binomial Theorem and Mathematical lnduction-12126.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12132.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12138.png

0%
0%
2)
0%
0%
0%
Both (and (4)

Maths-Binomial Theorem and Mathematical lnduction-12144.png

0%
2
0%
1
0%
3
0%
0

Maths-Binomial Theorem and Mathematical lnduction-12146.png

0%
e2
0%
e
0%
e2 – 1
0%
e – 1

Maths-Binomial Theorem and Mathematical lnduction-12148.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12154.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12160.png

0%
214
0%
214 – 15
0%
214 + 15
0%
214 – 1

If the sum of the coefficients in the expansion of (a² x² – 6ax + 11)¹⁰, where a is constant, is 1024 then the value of a is

0%
5
0%
1
0%
2
0%
3

Sum of last 30 coefficients in the expansion of (1 + x)⁵⁹, when expanded in ascending powers of x is

0%
259
0%
258
0%
230
0%
229

If the coefficient of the middle term in the expansion of (1 + x)^{2n + 2} is p and the coefficients of middle terms in the expansion of (1 + x)^{2n + 1} are q and r, then

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p + q = r
0%
p + r = q
0%
p = q + r
0%
p + q + r = 0

Maths-Binomial Theorem and Mathematical lnduction-12165.png

0%
1
0%
2
0%
3
0%
4

Maths-Binomial Theorem and Mathematical lnduction-12167.png

0%
0%
2)
0%
0%
None of these

Maths-Binomial Theorem and Mathematical lnduction-12172.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12178.png

0%
2/3
0%
5/3
0%
4/3
0%
None of these

Maths-Binomial Theorem and Mathematical lnduction-12180.png

0%
0%
2)
0%
0%
None of these

Let (1 + x)ⁿ = 1 + a₁x + a₂x² + ......a_nxⁿ. If a₁, a₂ and a₃ are in A.P. then the value of n is

0%
4
0%
5
0%
6
0%
7

Maths-Binomial Theorem and Mathematical lnduction-12186.png

0%
100
0%
120
0%
–120
0%
None of these

Maths-Binomial Theorem and Mathematical lnduction-12188.png

0%
2n
0%
0
0%
3n
0%
None of these

If the expansion of (x + a)ⁿ, the sum of odd terms is P and sum of even terms is Q, then the value of (P² – Q²) will be

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(x2 + a2)n
0%
(x2 – a2)n
0%
(x – a)2n
0%
(x + a)2n

If the sum of the coefficients in the expansion of (1– 3x + 10x²)ⁿ is a and if the sum of the coefficients in the expansion of (1 + x²)ⁿ is b, then

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a = 3b
0%
a = b3
0%
b = a3
0%
None of these

If the sum of the coefficients in the expansion (αx² – 2x + 1)³⁵ is equal to the sum of the coefficients in the expansion of (x – ay)³⁵, then α =

0%
0
0%
1
0%
May be any real number
0%
No such value exist

Let P(n) be a statement and let P(n) = P(n +for all natural numbers n, then P(n) is true

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For all n
0%
For all n > 1
0%
For all n > m, m being a fixed positive integer
0%
Nothing can be said

Maths-Binomial Theorem and Mathematical lnduction-12193.png

0%
0%
2)
0%
0
0%

Maths-Binomial Theorem and Mathematical lnduction-12198.png

0%
3/32
0%
3/64
0%
9/32
0%
9/64

The coefficients of three successive terms in the expansion of (1 + x)ⁿ are 165, 330 and 462 respectively, then the value of n will be

0%
11
0%
10
0%
12
0%
8

Maths-Binomial Theorem and Mathematical lnduction-12201.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12207.png

0%
an odd integer
0%
an even integer
0%
0
0%
none of these

Maths-Binomial Theorem and Mathematical lnduction-12209.png

0%
an odd integer
0%
an even integer
0%
0
0%
none of these

The greatest co–efficient in the expansion of (x + y + z + t)¹⁵ is

0%
0%
2)
0%
0%
none of these

Maths-Binomial Theorem and Mathematical lnduction-12215.png

0%
0%
2)
0%
0%
none of these

Maths-Binomial Theorem and Mathematical lnduction-12220.png

0%
0%
0
0%
a
0%
none of these

Maths-Binomial Theorem and Mathematical lnduction-12223.png

0%
0%
10
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12228.png

0%
0%
2)
0%
0%

The last two digits of the number 17²⁵⁶ are

0%
61
0%
81
0%
68
0%
01

The last two digits of the number 3⁴⁰⁰ are

0%
10
0%
20
0%
01
0%
04

Maths-Binomial Theorem and Mathematical lnduction-12236.png

0%
1
0%
2
0%
3
0%
4

Maths-Binomial Theorem and Mathematical lnduction-12238.png

0%
0
0%
1
0%
2
0%
3

Maths-Binomial Theorem and Mathematical lnduction-12240.png

0%
2
0%
3
0%
4
0%
6

Maths-Binomial Theorem and Mathematical lnduction-12242.png

0%
49
0%
50
0%
51
0%
56

Maths-Binomial Theorem and Mathematical lnduction-12244.png

0%
0%
n
0%
n + 1
0%
none of these

Maths-Binomial Theorem and Mathematical lnduction-12247.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12253.png

0%
18
0%
19
0%
20
0%
21

Maths-Binomial Theorem and Mathematical lnduction-12255.png

0%
0%
2)
0%
0%
none of these

Maths-Binomial Theorem and Mathematical lnduction-12260.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12266.png

0%
4
0%
5
0%
6
0%
8

Maths-Binomial Theorem and Mathematical lnduction-12268.png

0%
10
0%
16
0%
12
0%
14

Maths-Binomial Theorem and Mathematical lnduction-12270.png

0%
0%
2)
0%
0%

Maths-Binomial Theorem and Mathematical lnduction-12276.png

0%
0%
2)
0%
0%
none of these

JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 10 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 10 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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