Binomial Theorem

The constant term in the expansion of (x + 1/x)⁶ is:

1. 0
2. 6
3. 20
4. 15

Pascal’s triangle is used to find:

1. Derivatives
2. Binomial coefficients
3. Matrix values
4. Trigonometric ratios

In the expansion of (a + b)⁹, the number of terms is:

1. 8
2. 9
3. 10
4. 11

If the coefficient of x² in (1 + x)ⁿ is 45, then n is:

1. 5
2. 8
3. 10
4. 12

The value of ⁷C₇ is:

1. 0
2. 1
3. 7
4. 49

The sum of coefficients of the expansion of (x + y)ⁿ is:

1. 0
2. 1
3. 2ⁿ
4. nⁿ

The coefficient of x³ in (1 + x)⁵ is:

1. 5
2. 10
3. 15
4. 20

The expansion of (a − b)ⁿ can be obtained from:

1. Binomial theorem
2. Pythagoras theorem
3. Logarithm rule
4. Factor theorem

The coefficient of the middle term in the expansion of (1 + x)⁸ is:

1. 56
2. 70
3. 28
4. 35

The middle term of the expansion of (a + b)⁶ is:

1. 3rd term
2. 4th term
3. 5th term
4. 6th term

The coefficient of x² in the expansion of (1 + x)⁴ is:

1. 2
2. 4
3. 6
4. 8

The value of ⁿC₀ is always:

1. 0
2. 1
3. n
4. n!

The number of terms in the expansion of (x + y)ⁿ is:

1. n
2. n + 1
3. 2n
4. n²

The general term in the expansion of (a + b)ⁿ is:

1. Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳ
2. Tᵣ = ⁿCᵣ aⁿ⁻ʳ bʳ⁺¹
3. Tᵣ₊₁ = ⁿCᵣ aʳ bⁿ⁻ʳ
4. Tᵣ = ⁿCᵣ aⁿ bʳ