Binomial Theorem

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Question

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Question 1 :

The coefficient of y in the expansion of (y² + c/y)⁵ is

1. 10c
2. 10c²
3. 10c³
4. None of these
Answer
8145

Question 2 :

(1.1)¹⁰⁰⁰⁰ is _____ 1000

1. greater than
2. less than
3. equal to
4. None of these
Answer
8146

Question 3 :

The fourth term in the expansion (x – 2y)¹² is

1. -1670 x⁹ × y³
2. -7160 x⁹ × y³
3. -1760 x⁹ × y³
4. -1607 x⁹ × y³
Answer
8147

Question 4 :

If n is a positive integer, then (√3+1)²ⁿ⁺¹ + (√3−1)²ⁿ⁺¹ is

1. an even positive integer
2. a rational number
3. an odd positive integer
4. an irrational number
Answer
8148

Question 5 :

If the third term in the binomial expansion of (1 + x)^m is (-1/8)x² then the rational value of m is

1. 1/2
2. 2
3. 3
4. 1
Answer
8149