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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
The simplified form of \((a+b)^4-(a-b)^4\) is
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Question 3 of 5
The sum of all coefficients in the expansion of \((2x-3)^6\) is
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Question 4 of 5
Assertion (A): \(6^n - 5n\) always leaves a remainder of 1 when divided by 25 for any positive integer \(n\).
Reason (R): \(6^n\) can be written as \((1+5)^n\), which expands to \(1 + 5n + 25k\) where \(k\) is a natural number.
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Question 5 of 5
Assertion (A): In the expansion of \((2x+3y)^5\), the sum of the powers of \(x\) and \(y\) in every term is exactly 5.
Reason (R): In the expansion of \((a+b)^n\), the sum of the indices of \(a\) and \(b\) is \(n\) in every term of the expansion.
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