  We obtain a new class of solutions by revisiting the Vaidya-Tikekar stellar
model in the linear regime. Making use of the Vaidya and Tikekar metric ansatz
[J. Astrophys. Astron. {\bf3} (1982) 325] describing the spacetime of static
spherically symmetric relativistic star composed of an anisotropic matter
distribution admitting a linear EOS, we solve the Einstein field equations and
subsequently analyze physical viability of the solution. We probe the impact of
the curvature parameter $K$ of the Vaidya-Tikekar model, which characterizes a
departure from homogeneous spherical distribution, on the mass-radius
relationship of the star. In the context of density-dependent MIT Bag models,
we show a correlation between the curvature parameter, the bag constant and
total mass and radius of some of the well-known pulsars viz., 4U 1820-30, RX
J1856-37, SAXJ 1808.4 and Her X-1. We explore the possibility of fine-tuning
these parameters based on current observational data.
