defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Determinants Evaluation of Determinants
Let f(t) = \(\left|\begin{array}{ccc}\cos \rm t & \rm t & 1 \\ 2 \sin \rm t & \rm t & 2\rm t \\ \sin \rm t & \rm t & \rm t\end{array}\right|\), then \(\displaystyle\lim_{\rm t \rightarrow 0} \frac{\rm f(t)}{\rm t^2}\) is equal to
1
0
2
–1
3
2
4
3