jee-main 2020 Q61

jee-main · India · session2_02sep_shift1 Matrices Linear System and Inverse Existence

Let $S$ be the set of all $\lambda \in R$ for which the system of linear equations $$2x - y + 2z = 2$$ $$x - 2y + \lambda z = -4$$ $$x + \lambda y + z = 4$$ has no solution. Then the set $S$
(1) Contains more than two elements
(2) Is an empty set
(3) Is a singleton
(4) Contains exactly two elements

Let $S$ be the set of all $\lambda \in R$ for which the system of linear equations
$$2x - y + 2z = 2$$
$$x - 2y + \lambda z = -4$$
$$x + \lambda y + z = 4$$
has no solution. Then the set $S$\\
(1) Contains more than two elements\\
(2) Is an empty set\\
(3) Is a singleton\\
(4) Contains exactly two elements

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