If the system of linear equations 2x + y − z = 7, x − 3y + 2z = 1, x + 4y + z = k, where , k R has infinitely many solutions, then + k is equal to:

JEE Main 2022 Mathematics question

If the system of linear equations 2x + y − z = 7, x − 3y + 2z = 1, , where , k R has infinitely many solutions, then is equal to:

Answer: (2)

For infinitely many solutions = |2 1 −1; 1 −3 2; 1 4 , so =

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Question ID VK-035322