NIMCET 2018 Question Paper with solutions

Generally, maximum or minimum values of triangles occurs when all the angles of triangle are equal
∴ A = b = C = $\frac{\mathit{\pi }}{3}$
∴ Minimum value of secA + secB + sec C
= $\mathit{s}\mathit{e}\mathit{c}\frac{\mathit{\pi }}{3}+\mathit{s}\mathit{e}\mathit{c}\frac{\mathit{\pi }}{3}+\mathit{s}\mathit{e}\mathit{c}\frac{\mathit{\pi }}{3}$ = 2 + 2 + 2 = 6