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We exploit the supersymmetric invariant restrictions (SUSYIRs) on thesupervariables to derive the nilpotent N = 2 SUSY transformations for thesupersymmetric quantum mechanical model of the motion of a charged particle inthe X-Y plane (where the magnetic field (B_z) is applied along theZ-direction). The supervariables are defined on a (1, 2)-dimensionalsupermanifold parametrized by a bosonic "time" variable t and a pair ofGrassmannian variables \theta and \bar\theta (with \theta^2 = {\bar\theta}^2 =0, \theta\bar\theta + \bar\theta\theta = 0). We take the (anti-)chiralsupervariables for our purpose so that the nilpotency property of the N = 2SUSY symmetry transformations could be captured within the framework ofsupervariable approach. We express the Lagrangian as well as supercharges interms of the supervariables (that are obtained after the application of theappropriate SUSYIRs) and provide geometrical basis, within the framework of oursupervariable approach, for (i) the nilpotency property of the above SUSYtransformations, and (ii) the SUSY invariance of the Lagrangian.

N = 2 SUSY symmetries for a moving charged particle under influence of a magnetic field: Supervariable approach