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, 2 x+5 y+\alpha z=\beta \text{ and } x+2 y+3 z=4, has infinitely many solutions. Then ( {\PQ})^2 is equal to____ [29-Jan-2024 Shift 2]

JEE Main 29-Jan-2024 Shift 2 Solved Paper

Section: Mathematics

Question : 22 of 90

Marks: +1, -0

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(α,β) be a point such that the system of equations
x+y+z=6,
2x+5y+αz=β‌ and ‌
x+2y+3z=4,
has infinitely many solutions. Then (PQ)2 is equal to____

[29-Jan-2024 Shift 2]

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