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Let S be the set of values of lambda, fo...

Let S be the set of values of `lambda`, for which the system of equations
`6lambda x – 3y + 3z = 4lambda^2 `,
`2x + 6 lambda y + 4z = 1`
`3x + 2y + 3lambdaz = lambda`has no solution. Then `12 sum _(lambda in S)|lambda|` is equal to

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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