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