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Maths Binomial Theorem Class 11 MCQ and Assertion Questions

Short Quiz · Class 11 · Maths · CBSE

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

Practise Binomial Theorem Class 11 with Teachoo's Short Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
Assertion (A): The expansion of \((x + \frac{1}{x})^5\) has exactly one term that is independent of \(x\).
Reason (R): A term is independent of \(x\) if the sum of the powers of \(x\) evaluates to zero.
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Question 2 of 5
Assertion: The expansion of \[ \left(x^2+\frac{3}{x}\right)^4 \] contains a term independent of \(x\).
Reason: The exponent of \(x\) in the \((r+1)\)th term is \(8-3r\), and no integral value of \(r\) between \(0\) and \(4\) makes this exponent zero.
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Question 3 of 5
Assertion: \[ 98^5<100^5. \]
Reason: In the binomial expansion of \((100-2)^5\), every term after \(100^5\) is negative.
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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
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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