GATE DA 2025 — Question 53

Consider designing a linear binary classifier \(f(x) = \mathrm{sign}(w^{T} x + b)\), \(x \in \mathbb{R}^{2}\), on the following training data:

Class-1: \((2,\, 0)^{T}, (0,\, 2)^{T}, (2,\, 2)^{T}\)

Class-2: \((0,\, 0)^{T}\)

Hard-margin support vector machine (SVM) formulation is solved to obtain \(w\) and \(b\). Which of the following options is/are correct?