The number of values of \alpha for which the system of equations: x+y+z=\alpha \alpha x+2 \alpha y+3 z=-1 x+3 \alpha y+5 z=4 is inconsistent, is [24-Jun-2022-Shift-1]

JEE Main 24 June 2022 Shift 1 Solved Paper

Section: Mathematics

Question : 6 of 90

Marks: +1, -0

The number of values of α for which the system of equations:
x+y+z=α
αx+2αy+3z=−1
x+3αy+5z=4
is inconsistent, is

[24-Jun-2022-Shift-1]

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