8

Q1. The coefficient of x⁴ in the expansion of (1 + x + x² + x³)ⁿ is:

• ⁿC₄
• ⁿC₄₊ⁿC₂
• ⁿC₄₊ⁿC₂₊ⁿC_4.ⁿC₂
• ⁿC₄₊ⁿC₂₊ⁿC_1.ⁿC₂

Solution

 

Q2. What is the coefficient of x⁵ in the expansion of (1-x)^-6?

• -252
• 251
• 250
• 252

Solution

Q3. Which term is the middle term in the expansion of (2x - 7y) ¹⁰?

• 5^th term
• 6^th term
• 5^th and 6^th term
• 6^th and 7^th term

Solution

Q4. If in the expansion of (1+x)²⁰, the coefficients of r^th and (r+4)^th terms are equal, then the value of r is equal to:

• 7
• 8
• 9
• 10

Solution

Q5. If in the expansion of (1+x)¹⁵, the coefficients of (2r +3)^th and (r-1)^th terms are equal, then the value of r is:

• 5
• 6
• 4
• 3

Solution

Q6. What is the general term in the binomial expansion of (1+2x)ⁿ

• ⁿC_r1 (2x)^n-r
• ⁿC_r1²(2x)^n-2
• ⁿC₄1^r(2x)^n-r
• ⁿC_r1^r(-2x)^n-r

Solution

Q7. What is the general term in the expansion of (2y-4x)⁴⁴?

•  ⁴⁴C_r (2y)^r (-4x)^44-r
• ⁴⁴C_r (2y)^r (4x)^44-r
• ⁴⁵C_r (2y)^r (-4x)^45-r
• None of the above

Solution

Q8. In the expansion of (x+y)ⁿ , the coefficients of 4^th and 13^th terms are equal, Then the value of n is :

• 15
• 9
• 12
• 21

Solution

Q9. The middle term in the expansion of (2x+3y)¹² is

• ¹²C₇ (2x)⁵(3y)⁷
• ¹²C₆(2x)⁶(3y)¹²
• ¹²C₆(2x)⁶(3y)⁶
• ¹²C₇(2x)⁷(3y)⁵

Solution

Q10. The largest coefficient in the expansion of (1+x)²⁴ is:

• ²⁴C₂₄
• ²⁴C₁₃
• ²⁴C₁₂
• ²⁴C₁₁

Take Another Test