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KELT-12b
The Exoplanet designated KELT-12b is found to be the most inflated hot jupiter ever, which orbits around 2 billion-year-old mildly evolved  hot star designated KELT-12(also known as TYC 2619-1057) which is a F-type star.A team of researchers lead by Daniel Stevens of ohio state University detected the initial transit signal of the exoplanet at   KELT-North telescope which is one of the two robotic telescopes  situated at the winner observatory in Arizona.

Physical characteristics
Generally the hot jupiters have orbital period less than 10 days and their distance from their star is very less and therefore their surface gets heated up when close to their star and it gets inflated and they have high surface temperatures and they appear like commet.The KELT-12b has orbital period of 5.03 days and it's orbital radius is 0.06708 AU and it has an extremely low density of approximately 0.21 g/cm3 which conforms it to be the most inflated exoplanet.It's mass is atleast 0.95 times jupiter. While its hotstar KELT-12b has a mass of 1.59 solar mass which is 2.4 times larger than sun. The KELT-North survey established the planetary nature of companion through photometry,high resolution spectroscopy,precise radial velocity measurements and high resolution adaptive optics imaging.V=10.64 host,TYC 2619-1057,has Teff=6278±51 K, logg⋆=3.89+0.054−0.051, and [Fe/H] = 0.19+0.083−0.085, with an inferred mass M⋆=1.59+0.071−0.091M⊙ and radius R⋆=2.37±0.18R⊙. The planetary companion has MP=0.95±0.14MJ, RP=1.79+0.18−0.17RJ, loggP=2.87+0.097−0.098, and density ρP=0.21+0.075−0.054 g cm−3.

conclusion
Scientists exactly don't know why this planet KELT-12b inflated so much.They believe that the inflation is because of deposition of energy from the hot star or inhibited cooling of planet.scientists want to know how these hot jupiters orbit their parent stars so closely.