jee-main 2018 Q80

jee-main · India · 15apr Differential equations Qualitative Analysis of DE Solutions

Let $S = \left\{ ( \lambda , \mu ) \in R \times R : f ( t ) = \left( | \lambda | e ^ { | t | } - \mu \right) \sin ( 2 | t | ) , t \in R \right.$ is a differentiable function $\}$. Then, $S$ is a subset of :
(1) $( - \infty , 0 ) \times R$
(2) $R \times [ 0 , \infty )$
(3) $[ 0 , \infty ) \times R$
(4) $R \times ( - \infty , 0 )$

Let $S = \left\{ ( \lambda , \mu ) \in R \times R : f ( t ) = \left( | \lambda | e ^ { | t | } - \mu \right) \sin ( 2 | t | ) , t \in R \right.$ is a differentiable function $\}$. Then, $S$ is a subset of :\\
(1) $( - \infty , 0 ) \times R$\\
(2) $R \times [ 0 , \infty )$\\
(3) $[ 0 , \infty ) \times R$\\
(4) $R \times ( - \infty , 0 )$

Paper Questions

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