jee-main 2019 Q77

jee-main · India · session2_08apr_shift2 Polynomial Division & Manipulation

Let the numbers $2 , b , c$ be in an A.P. and $A = \begin{pmatrix} 2 & b & c \\ 4 & b^2 & c^2 \end{pmatrix}$. If $\det ( A ) \in [ 2,16 ]$, then $c$ lies in the interval:
(1) $[2,3]$
(2) $[4,6]$
(3) $\left[3, 2 + 2 ^ { \frac { 3 } { 4 } }\right]$
(4) $\left[2 + 2 ^ { \frac { 3 } { 4 } } , 4\right]$

Let the numbers $2 , b , c$ be in an A.P. and $A = \begin{pmatrix} 2 & b & c \\ 4 & b^2 & c^2 \end{pmatrix}$. If $\det ( A ) \in [ 2,16 ]$, then $c$ lies in the interval:\\
(1) $[2,3]$\\
(2) $[4,6]$\\
(3) $\left[3, 2 + 2 ^ { \frac { 3 } { 4 } }\right]$\\
(4) $\left[2 + 2 ^ { \frac { 3 } { 4 } } , 4\right]$

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