JEE-ADVANCED SERIES
Mathematics

Binomial Theorem

12 previous year questions.

Volume: 12 Ques
Yield: Medium

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2025
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1980

Chapter Questions
12 MCQs

01
PYQ 1980
medium
mathematics ID: jee-adva
Given positive integers and the coefficient of and terms in the binomial expansion of are equal. Then,
1
n=2r
2
n=2r+1
3
n=3r
4
None of these
02
PYQ 1992
medium
mathematics ID: jee-adva
The expression is a polynomial of degree
1
5
2
6
3
7
4
8
03
PYQ 1999
medium
mathematics ID: jee-adva
If in the expansion of , the coefficients of and are 3 and - 6 respectively, then m is euqal to
1
6
2
9
3
12
4
24
04
PYQ 2000
medium
mathematics ID: jee-adva
For is equal to
1
2
3
4
05
PYQ 2001
medium
mathematics ID: jee-adva
In the binomial expansion of the sum of the 5th and 6th terms is zero. Then, a /b equals
1
2
3
4
06
PYQ 2003
easy
mathematics ID: jee-adva
Coefficient of in is
1
2
3
4
07
PYQ 2004
medium
mathematics ID: jee-adva
If then k belongs to
1
2
3
4
(\sqrt{3, 2}]
08
PYQ 2014
medium
mathematics ID: jee-adva
Coefficient of in the expansion of
1
1051
2
1106
3
1113
4
1120
09
PYQ 2023
medium
mathematics ID: jee-adva
Let a and b be two nonzero real numbers. If the coefficient of x5 in the expansion of ( is equal to the coefficient of x-5 in the expansion of . then the value of 2b is
10
PYQ 2023
medium
mathematics ID: jee-adva
Let a and b be two nonzero real numbers. If the coefficient of x5 in the expansion of ( is equal to the coefficient of x-5 in the expansion of . then the value of 2b is
11
PYQ 2023
medium
mathematics ID: jee-adva

Coefficient independent of x in the expansion of (3x2- )7 is?

1

2

3

4

12
PYQ 2025
medium
mathematics ID: jee-adva
Let If the maximum value of occurs at , find the value of .
1
5
2
6
3
7
4
8