List of top Mathematics Questions on solution of system of linear inequalities in two variables asked in BITSAT

If \(\hat{u}\) and \(\hat{v}\) are two non-collinear unit vectors such that \(\left| \frac{\hat{u} + \hat{v}}{2} + \hat{u} \times \hat{v} \right| = 1\), then the value of \(\left| \hat{u} \times \hat{v} \right|\) is equal to:
For the following feasible region, the linear constraints are