jee-main 2020 Q61

jee-main · India · session1_09jan_shift2 Matrices Determinant and Rank Computation

Let $a - 2 b + c = 1$. If $f ( x ) = \left| \begin{array} { l l l } x + a & x + 2 & x + 1 \\ x + b & x + 3 & x + 2 \\ x + c & x + 4 & x + 3 \end{array} \right|$, then:
(1) $f ( - 50 ) = 501$
(2) $f ( - 50 ) = - 1$
(3) $f ( 50 ) = - 501$
(4) $f ( 50 ) = 1$

Let $a - 2 b + c = 1$.\\
If $f ( x ) = \left| \begin{array} { l l l } x + a & x + 2 & x + 1 \\ x + b & x + 3 & x + 2 \\ x + c & x + 4 & x + 3 \end{array} \right|$, then:\\
(1) $f ( - 50 ) = 501$\\
(2) $f ( - 50 ) = - 1$\\
(3) $f ( 50 ) = - 501$\\
(4) $f ( 50 ) = 1$

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