For an integer n ≥ 2, if the arithmetic mean of all coefficients in the binomial expansion of (x + y)²ⁿ⁻³ is 16, then the distance of the point P(2n-1, n²-4n) from the line x + y = 8 is:

Binomial Theorem and Its Simple Applications: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q130

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

For an integer n \ge 2, if the arithmetic mean of all coefficients in the binomial expansion of (x + y)^{2n-3} is 16, then the distance of the point P(2n-1, n²-4n) from the line x + y = 8 is:

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JEE Main 2025 Binomial Theorem and Its Simple Applications Question with Solution (April Unspecified (session-level dataset), Q130) | JEE Arc

Binomial Theorem and Its Simple Applications: JEE Main 2025 Mathematics question

JEE Main 2025 · April, Unspecified (session-level dataset) · Q130

JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

For an integer n \ge 2, if the arithmetic mean of all coefficients in the binomial expansion of (x + y)^{2n-3} is 16, then the distance of the point P(2n-1, n²-4n) from the line x + y = 8 is:

More on Binomial Theorem and Its Simple Applications

Practise this topic