JEE Main 202310 Apr, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002For the system of linear equations 2x−y+3z=52x - y + 3z = 52x−y+3z=5 3x+2y−z=73x + 2y - z = 73x+2y−z=7 4x+5y+αz=β4x + 5y + \alpha z = \beta4x+5y+αz=β, which of the following is NOT correct?AOption A. The system has infinitely many solutions for α=−6\alpha=-6α=−6 and β=9\beta=9β=9BOption B. The system has a unique solution for α\alphaα ≠\ne= −5-5−5 and β=8\beta=8β=8COption C. The system is inconsistent for α=−5\alpha=-5α=−5 and β=8\beta=8β=8DOption D. The system has infinitely many solutions for α=−5\alpha=-5α=−5 and β=9\beta=9β=9CheckSkip · show solution