JEE MATHS UNIT 5
QUIZ NO 3
TOTAL QUESTIONS = 20
1. The number of terms in the expansion of (x + y)^20 is
A. 20
B. 21
C. 19
D. 22
2. The coefficient of x^4 in the expansion of (1 + x)^6 is
A. 15
B. 20
C. 10
D. 6
3. The sum of the coefficients in the expansion of (1 + x)^8 is
A. 8
B. 64
C. 256
D. 512
4. The middle term in the expansion of (x + 1/x)^10 is
A. 10C5 x^0
B. 10C4 x^0
C. 10C5 x^1
D. 10C6 x^0
5. The coefficient of x^6y^4 in the expansion of (x + y)^10 is
A. 120
B. 210
C. 252
D. 504
6. The constant term in the expansion of (x^3 + 1/x^2)^5 is
A. 10
B. 30
C. 20
D. 60
7. The value of n such that the sum of coefficients in the expansion of (1 + x)^n is 512 is
A. 8
B. 9
C. 7
D. 6
8. The ratio of the coefficients of x^5 and x^4 in the expansion of (1 + x)^10 is
A. 5:4
B. 6:5
C. 4:5
D. 5:6
9. The term independent of x in the expansion of (x^2 + 1/x)^8 is
A. x^4
B. x^0
C. x^2
D. x^1
10. The coefficient of x^2 in the expansion of (1 + x)^6 is
A. 15
B. 20
C. 6
D. 10
11. The value of 10C3 is
A. 120
B. 56
C. 210
D. 45
12. The sum of the coefficients in the expansion of (2 - x)^8 is
A. 256
B. 512
C. 128
D. -256
13. The coefficient of x^5y^5 in the expansion of (x + y)^10 is
A. 210
B. 252
C. 120
D. 336
14. The middle term in the expansion of (1 + x)^9 is
A. 9C4 x^5
B. 9C5 x^5
C. 9C5 x^4
D. 9C4 x^4
15. If the 6th term in the expansion of (2 + x)^8 is 1120, the value of x is
A. 2
B. 3
C. 4
D. 5
16. The value of n for which the ratio of the 7th term to the 6th term in the expansion of (1 + x)^n is 2:1 is
A. 7
B. 8
C. 9
D. 10
17. The coefficient of x^4y^6 in the expansion of (x + y)^10 is
A. 210
B. 252
C. 120
D. 336
18. The constant term in the expansion of (x^2 + 1/x)^6 is
A. 15
B. 20
C. 40
D. 60
19. The term containing x^7 in the expansion of (1 + x)^10 is
A. 10C7 x^7
B. 10C3 x^7
C. 10C7 x^3
D. 10C3 x^3
20. The coefficient of x^3y^2z^5 in the expansion of (x + y + z)^10 is
A. 210
B. 120
C. 252
D. 336
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