Teaching AWES Army Public School TGT Mock Test 2024 Mathematics Determinants Evaluation of Determinants
If x, y ∈ R, then the determinant
∆ = \(\left|\begin{array}{ccc}\cos \rm x & −\sin \rm x & 1 \\ \sin \rm x & \cos \rm x & 1 \\ \cos (\rm x+y) & −\sin \rm (x+y) & 0\end{array}\right|\) lies in the interval
1
[−√2, √2]
2
[−1, 1]
3
[−√2, 1]
4
[−1, −√2]