Class 11 Mathematics · Chapter 8 · Test 2
Binomial Theorem
38 MCQs Covers the binomial theorem for positive integral index, the general term, middle terms and the sum of binomial coefficients.
38 questions · 30 min · 38 marks
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Sample questions
The first 5 of 38. Try each one, then tap to see the answer.
Question 1
A binomial expression is:
- Aan algebraic expression with two terms
- Ban algebraic expression with three terms
- Ca product of two numbers
- Da polynomial of degree two
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Answer: A
Expressions like a + x and x - 2y are binomials because they have two terms.
Question 2
The number of terms in the expansion of (a + x)^n for a positive integer n is:
- An
- Bn - 1
- Cn + 1
- D2n
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Answer: C
The number of terms is one more than the index.
Question 3
The sum of the exponents of a and x in each term of the expansion of (a + x)^n is:
- An + 1
- Bn
- C2n
- Dn - 1
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Answer: B
Each term has the form a^(n-r) x^r so the exponents add to n.
Question 4
In the expansion of (a + x)^n the exponent of a:
- Aincreases from 0 to n
- Bstays equal to n
- Cincreases from 1 to n
- Ddecreases from n to 0
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Answer: D
The exponent of a falls from n to 0 while that of x rises from 0 to n.
Question 5
The (r+1)th term T(r+1) in the expansion of (a + x)^n is:
- AnCr a^(n-r) x^r
- BnCr a^r x^(n-r)
- CnC(r+1) a^(n-r) x^r
- DnCr a^(n-r-1) x^(r+1)
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Answer: A
The general term is nCr a^(n-r) x^r.
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