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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 \((x+1)^6 + (x-1)^6\) contains 4 non-zero terms.
Reason (R): The expression \((a+b)^n + (a-b)^n = 2({}^nC_0a^n + {}^nC_2a^{n-2}b^2 + {}^nC_4a^{n-4}b^4 + \dots)\).
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Question 2 of 5
Assertion: For every positive integer \(n\), \[ {}^{n}C_0-{}^{n}C_1+{}^{n}C_2-\cdots+(-1)^n{}^{n}C_n=0. \]
Reason: Substituting \(x=-1\) in the expansion of \((1+x)^n\) gives \((1-1)^n=0\).
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Question 3 of 5
The third term in the expansion of \((a+b)^8\) is
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Question 4 of 5
The coefficient of \(x^3y^2\) in \((2x-3y)^5\) is
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Question 5 of 5
Assertion (A): The expansion of \((a+b)^4\) requires calculating \({}^4C_0\), \({}^4C_1\), \({}^4C_2\), \({}^4C_3\), and \({}^4C_4\), which map directly to the numbers 1, 4, 6, 4, 1.
Reason (R): The addition of elements in Pascal's triangle row for index \(n\) generates the row for index \(n+1\) using the property \({}^nC_r + {}^nC_{r-1} = {}^{n+1}C_r\).
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