jee-main 2020 Q60

jee-main · India · session1_08jan_shift2 3x3 Matrices Linear System Existence and Uniqueness via Determinant

The system of linear equations $\lambda x + 2y + 2z = 5$ $2\lambda x + 3y + 5z = 8$ $4x + \lambda y + 6z = 10$ has
(1) no solution when $\lambda = 8$
(2) a unique solution when $\lambda = -8$
(3) no solution when $\lambda = 2$
(4) infinitely many solutions when $\lambda = 2$

The system of linear equations\\
$\lambda x + 2y + 2z = 5$\\
$2\lambda x + 3y + 5z = 8$\\
$4x + \lambda y + 6z = 10$ has\\
(1) no solution when $\lambda = 8$\\
(2) a unique solution when $\lambda = -8$\\
(3) no solution when $\lambda = 2$\\
(4) infinitely many solutions when $\lambda = 2$

Paper Questions

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