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MCQMediumJEE Main 2025 · 4 April, Shift 1Simple Applications

Mathematics Question from JEE Main 2025 · 4 April, Shift 1

For an integer n≥2n \geq 2, if the arithmetic mean of all coefficients in the binomial expansion of (x+y)2n−3(x + y)^{2n-3} is 1616, then the distance of the point P(2n−1,n2−4n)P(2n-1, n^2-4n) from the line x+y=8x + y = 8 is:

  • A

    2\sqrt{2}

  • B

    222\sqrt{2}

  • C

    525\sqrt{2}

  • D

    323\sqrt{2}

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