Let ^nC_ r-1 = 28, ^nC_r = 56 and ^nC_ r+1 = 70. Let A(4cost, 4sint), B(2sint, –2cost) and C(3r – n, r^2 – n...

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Let ^nC_ r-1 = 28, ^nC_r = 56 and ^nC_ r+1 = 70. Let A(4cost, 4sint), B(2sint, –2cost) and C(3r – n, r^2 – n – 1) be the vertices of a triangle ABC, where t is a parameter. If (3x - 1)^2 + (3y)^2 = , is the locus of the centroid of triangle ABC, then equals :

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JEE Main 2025 Mathematics question

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