  A rarely studied open cluster, King 1 is observed using the 1.3m telescope
equipped with 2k x 4k CCD at the Vainu Bappu Observatory, India. We analyse the
photometric data obtained from the CCD observations in both B and V bands. Out
of 132 detected stars in the open cluster King 1 field, we have identified 4
stellar variables and 2 among them are reported as newly detected binary
systems, in this paper. The parallax values from GAIA DR2 suggest that the open
cluster King 1 is at the background of these two detected binary systems,
falling along the same line of sight, giving rise to different parallax values.
The periodogram analysis was carried out using Phase Dispersion Minimization
(PDM) and Lomb Scargle (LS) method for all the detected variables. PHOEBE
(PHysics Of Eclipsing BinariEs) is extensively used to model various stellar
parameters of both the detected binary systems. Based on the modeling results
obtained from this work, one of the binary systems is reported for the first
time as an Eclipsing Detached (ED) and the other as an Eclipsing Contact (EC)
binary of W-type W UMa.
