Binomial Theorem — Important Questions
Telangana Open School (TOSS) · Class 12 · Mathematics
53 important questions from Binomial Theorem for Telangana Open School (TOSS) Class 12 Mathematics, with answers. Written for the board exams 2027.
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Important Questions from Binomial Theorem
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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