Let for any three distinct consecutive terms a, b, c of an A.P.,… | JEE Main 2024 Mathematics PYQ

NVAMediumJEE Main 2024 · 29 January, Shift 2Solving Linear Equations (Matrix Method)

Let for any three distinct consecutive terms $a, b, c$ of an A.P., the lines $ax + by + c = 0$ be concurrent at the point $P$ , and $Q(\alpha, \beta)$ be a point such that the system of equations $x + y + z = 6$ , $2x + 5y + \alpha z = \beta$ , $x + 2y + 3z = 4$ has infinitely many solutions. Then $(PQ)^2$ is equal to:

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