NVAMediumJEE Main 2023 · 24 January, Shift 2Basics: Distance, Section Formula, Locus

Mathematics Question from JEE Main 2023 · 24 January, Shift 2

The equations of the sides ABAB, BCBC, and CACA of a triangle ΔABC\Delta ABC are: 2x+y=0,x+py=21a(a0),xy=3,2x + y = 0, \quad x + py = 21a \, (a \neq 0), \quad x - y = 3, and P(2,a)P(2, a) is the centroid of ΔABC\Delta ABC. Then (BC)2(BC)^2 is equal to:

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