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JEE MAIN 2021
20-07-2021 S1
Question
Let $A=\left[a_{i j}\right]$ be a $3 \times 3$ matrix, where $a_{i j}=\left\{\begin{array}{cl}1, & i f i=j \\ -x, & i f|i-j|=1 \text {. Let a fucntion } f: R \rightarrow R \text { be defined as } f(x)= \\ 2 x+1, & \text { otherwise }\end{array}\right. \operatorname{det}(A)$. Then the sum of maximum and minimum values of $f$ on $R$ is equal to :
Select the correct option:
A
$-\frac{20}{27}$
B
$\frac{88}{27}$
C
$\frac{20}{27}$
D
$\frac{88}{27}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
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