Binomial Theorem — Practice Quiz
Telangana Open School (TOSS) · Class 12 · Mathematics
Try a 4-question quiz on Binomial Theorem for Telangana Open School (TOSS) Class 12 Mathematics: tap an answer to check it and see why.
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Quick Quiz: Binomial Theorem
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What is the total number of terms in the expansion of $(a + b)^n$?
Which of the following is the general term in the expansion of $(x + y)^n$?
What is the coefficient of $x^2$ in the expansion of $(1 + x)^5$?
What is the middle term in the expansion of $(x + y)^6$?
Sample Questions
Which of the following is equal to $(1 + x)^{-1}$ when $|x| < 1$?
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1 - x + x^2 - x^3 + \dots
The expansion of $(1 + x)^{-1}$ is $1 - x + x^2 - x^3 + \dots$ for $|x| < 1$.
Is the statement true or false: The binomial expansion of $(x + y)^n$ has $n$ terms.
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False
The expansion has $n + 1$ terms, not $n$ terms.
What is the value of ${}^4C_2$?
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6
${}^4C_2 = \frac{4!}{2!2!} = 6$.
Which term in the expansion of $(x + y)^7$ is the middle term?
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4th and 5th terms
For odd $n = 7$, there are two middle terms: $\left(\frac{7+1}{2}\right)$th and $\left(\frac{7+3}{2}\right)$th, i.e., 4th and 5th terms.
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