JEE MATHS UNIT 5
QUIZ NO 2
TOTAL QUESTIONS = 20
1. The number of terms in the expansion of (x + y)^15 is
A. 15
B. 16
C. 14
D. 17
2. The coefficient of x^4 in the expansion of (1 + x)^10 is
A. 210
B. 252
C. 120
D. 45
3. If the sum of the coefficients in the expansion of (1 + x)^n is 1024, then the value of n is
A. 9
B. 10
C. 11
D. 8
4. The middle term in the expansion of (x + 1/x)^10 is
A. 10C5 x^0
B. 10C6 x^0
C. 10C4 x^0
D. 10C5 x^1
5. The constant term in the expansion of (x^2 + 1/x)^8 is
A. 56
B. 70
C. 120
D. 128
6. The coefficient of x^6 in the expansion of (1 + x)^12 is
A. 924
B. 462
C. 252
D. 132
7. The term containing x^7 in the expansion of (1 + x)^12 is
A. 12C7 x^7
B. 12C6 x^7
C. 12C7 x^5
D. 12C5 x^7
8. If (x + y)^8 = Σ 8Ck x^(8-k)y^k, the value of 8C5 is
A. 56
B. 120
C. 70
D. 28
9. The coefficient of x^5 in the expansion of (2 + x)^8 is
A. 448
B. 280
C. 252
D. 336
10. The term independent of x in the expansion of (x^3 + 1/x^2)^9 is
A. x^0
B. x^1
C. x^3
D. x^5
11. The ratio of the coefficients of x^7 and x^6 in the expansion of (1 + x)^20 is
A. 6:7
B. 7:6
C. 20:19
D. 19:20
12. The sum of coefficients in the expansion of (1 - x)^12 is
A. 0
B. 1
C. 2^12
D. -2^12
13. The coefficient of x^3y^3 in the expansion of (x + y)^6 is
A. 10
B. 20
C. 15
D. 30
14. If the binomial expansion of (1 + x)^n contains 11 terms, then the value of n is
A. 9
B. 10
C. 11
D. 12
15. The middle term in the expansion of (1 + x)^8 is
A. 8C3 x^4
B. 8C4 x^4
C. 8C5 x^4
D. 8C4 x^5
16. If the 7th term in the expansion of (2 + x)^10 is 2880, then the value of x is
A. 1
B. 2
C. 3
D. 4
17. The value of n for which the ratio of the 5th term to the 4th term in the expansion of (1 + x)^n is 3:2 is
A. 5
B. 6
C. 7
D. 8
18. The coefficient of x^2y^3z^4 in the expansion of (x + y + z)^9 is
A. 84
B. 126
C. 210
D. 336
19. If the sum of the coefficients in the expansion of (1 - x)^20 is 1, the constant term in the expansion is
A. 1
B. -1
C. 20
D. 0
20. The value of n if 2^(n-1) = 64 in the expansion of (1 + x)^n is
A. 6
B. 7
C. 8
D. 5
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