JEE Main 202227 Jun, Morning shiftMathematicsMediumMatrices and Determinants245× since 2002Let the system of linear equations x+2y+z=2x + 2y + z = 2x+2y+z=2, αx+3y−z=α\alpha x + 3y - z = \alphaαx+3y−z=α, −αx+y+2z=−α- \alpha x + y + 2z = - \alpha−αx+y+2z=−α be inconsistent. Then α\alphaα is equal to :AOption A. 52{5 \over 2}25BOption B. −-−52{5 \over 2}25COption C. 72{7 \over 2}27DOption D. −-−72{7 \over 2}27CheckSkip · show solution