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Short Quiz

Chapter 7 Class 11 Binomial Theorem | 5 questions | about 4 minutes

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Question 1 of 5
Question 1 of 5
Assertion: Every term in the expansion of \[ \left(x+\frac{1}{x}\right)^6 \] contains a non-negative integral power of \(x\).
Reason: The power of \(x\) in the \((r+1)\)th term is \(6-2r\).
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Question 2 of 5
Assertion (A): All terms in the expansion of \((x-2y)^5\) will have a positive sign if \(x\) and \(y\) are positive real numbers.
Reason (R): The expansion of \((x-y)^n\) has alternately positive and negative terms.
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Question 3 of 5
Assertion (A): The sum of the coefficients in the expansion of \((1+x)^{10}\) is 1024.
Reason (R): Substituting \(x=1\) in the expansion of \((1+x)^n\) gives \(\sum_{r=0}^{n} {}^nC_r = 2^n\).
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Question 4 of 5
Assertion (A): The number of terms in the expansion of \((x+y)^{10}\) is 11.
Reason (R): The total number of terms in the expansion of \((a+b)^n\) is \(n+1\).
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Question 5 of 5
Using the binomial theorem, the value of \(98^3\) is
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