Class 11 Exam > Class 11 Notes > MCQ: Binomial Theorem - Class 11
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If in the expansion of (1 + x)m (1 – x)n, the co-efficients of x and x2 are 3 and – 6 respectively, then m is [JEE 99,2 ]a)6b)9c)12d)24Correct answer is option 'C'. Can you explain this answer?
Ref: https://edurev.in/question/583519/If-in-the-expansion-of-1-x-m-1-ndashx-n-the-co-efficients-of-x-and-x2are-3-and-ndash6-respectively
The correct answer is b.
FAQs on MCQ: Binomial Theorem - Class 11
| 1. What is the binomial theorem? |  |
Ans. The binomial theorem is a formula used to expand a binomial expression raised to a positive integer power. It states that for any positive integer n, the expansion of (a + b)^n can be found by using the coefficients from Pascal's triangle.
| 2. How do you find the nth term in the expansion of a binomial expression? | |
Ans. To find the nth term in the expansion of a binomial expression, you can use the formula: T(n+1) = (nCk) * a^(n-k) * b^k, where n is the power of the binomial, k is the term number (starting from 0), a is the coefficient of the first term, and b is the coefficient of the second term.
| 3. What is the significance of Pascal's triangle in the binomial theorem? | |
Ans. Pascal's triangle is a triangular arrangement of numbers where each number is the sum of the two numbers directly above it. The coefficients from Pascal's triangle are used in the binomial theorem to determine the coefficients of the expanded terms in a binomial expression.
| 4. Can the binomial theorem be used for negative integer powers? | |
Ans. No, the binomial theorem is only applicable for positive integer powers. It cannot be used for negative integer powers as it involves division by zero, which is undefined.
| 5. What are some applications of the binomial theorem in real-life situations? | |
Ans. The binomial theorem has various applications in different fields. Some examples include probability calculations, financial mathematics, statistics, and engineering. It is particularly useful in situations where a binomial expression needs to be expanded to a large power and simplifying the expression would be time-consuming.
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Jan 10, 2025
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