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This set of MCQs is designed to test the concepts and studies of the binomial theorem, defined as the process of algebraically expanding the power of sums of two or more binomials. and also defined as a segment of basic algebra that students are required to study.
If the fourth term in the expansion (ax + 1/x)ⁿ is 5/2, then the value of x is
In the expansion of (a + b)ⁿ, if n is even then the middle term is
If A and B are the coefficient of xⁿ in the expansion (1 + x)2n and (1 + x)2n-1 respectively, then A/B equals
The number 111111 ………….. 1 (91 times) is,
Not an odd number
None of these
Not a prime
An even number
The number of terms in the expansion (2x + 3y – 4z)ⁿ is,
n + 1
n + 3
{(n + 1) × (n + 2)}/2
None of these
The coefficient of y in the expansion of (y² + c/y)5 is,
10c
10c²
10c³
None of these
10000 is _____ 1000,
Greater than
Less than
Equal to
None of these
The fourth term in the expansion (x – 2y)12 is,
-1670 x9 × y³
-7160 x9 × y³
-1760 x9 × y³
-1607 x9 × y³
If n is a positive integer, then (√3+1)2n+1 + (√3−1)2n+1 is
An even positive integer
A rational number
An odd positive integer
An irrational number
If the third term in the binomial expansion of (1 + x)m is (-1/8)x² then, the rational value of m is
2
1/2
3
4
