Question

Consider two matrices $A=\left[\begin{array}{cc}1& -2\\ 3& 1\\ -1& 2\end{array}\right]$ and $B=\left[\begin{array}{ccc}1& b-a& -1\\ a& 1& 2\end{array}\right]$
where $a,b\in$ domain of the function $f(x)=\sqrt{-{\log }_2\left|\frac{2}{\pi }{\sin }^{-1}\left(\frac{x+3}{5}\right)\right|}$
[Note : $\mathrm{Tr}.(P)$ denotes the trace of square matrix $P$ and adj.(P) denotes the adjoint matrix of square matrix $P$.
If $\mathrm{Tr}$.(BA) is maximum then the value of det. (BA) is equal to

• A. 630
• B. 714
• C. 603
• D. 741

Answer 1

Answer: (B)

Correct answer is (b) 714