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MathsMediumNumerical2024 · 31 Jan Shift 1

Q83.In the expansion of 1 + 𝑥1 −𝑥21 + + , 𝑥≠0, the sum of the coefficient of 𝑥3 and 𝑥-13 is equal to 𝑥+ 𝑥2 𝑥3 ______

What This Question Tests

This problem involves finding coefficients of specific powers of x in the expansion of a rational function using the binomial theorem for negative exponents and then summing them.

Concepts Tested

Binomial theorem for negative and fractional indicesExpansion of (1-x)^-nCoefficient of x^k

Formulas Used

(1-x)^-n = Σ (n+k-1)C(k) x^k

(1+x)^-n = Σ (-1)^k (n+k-1)C(k) x^k

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📋 Question Details

Chapter: Binomial Theorem
Topic: Coefficients in Binomial Expansion
Year: 2024
Shift: 31 Jan Shift 1
Q Number: Q83
Type: Numerical
NCERT Ref: Class 11 Mathematics Ch 8: Binomial Theorem

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