Binomial Theorem (Algebra, Teaching Exam)

Total Questions: 75

11. If the coefficients of (r-1)ᵗʰ, rᵗʰ and (r+1)ᵗʰ terms in the expansion of (x+1)ⁿ are in the ratio 1: 3: 5 then value of n is : [KVS PGT 2023]

Correct Answer: (d) 7
Solution:

12. The coefficients of xⁿ in the expansion of (1+x)²ⁿ and (1+x)²ⁿ⁻¹ are in the ratio : [KVS PGT 2023]

Correct Answer: (b) 2:1
Solution:

13. Solve the following equation? [NVS PGT 2022]


Correct Answer: (c)
Solution:

14. Solve the following equation? [NVS PGT 2022, OAVS TGT 2022]

Correct Answer: (a) 84
Solution:

15. Solve the following equation? [KVS PGT 2022]

Correct Answer: (c) 5/12
Solution:


16. The total number of terms in the expansion of (x+a)¹⁰⁰+(x-a)¹⁰⁰ after simplification is : [KVS PGT 2022]

Correct Answer: (b) 51
Solution:

17. The sum of the coefficients in the expansion of (x+1)⁵ is: [OAVS TGT 2022]

Correct Answer: (a) 32
Solution:

18. Solve the following equation? [RPSC PGT 2022]

Correct Answer: (a) 66
Solution:

19. The sum of coefficients of integral power of x in the binomial expansion of (1-2√x)⁵⁰ is- [DSSSB PGT 2021]

Correct Answer: (c)
Solution:

20. The value of a if 17ᵗʰ and 18ᵗʰ terms in the expansion of (2+a)⁵⁰ are equal is: [OAVS TGT 2019]

Correct Answer: (a) 1
Solution: