As a Hindi name
का
marks the genitive case: -'s, of, belonging to; part of, originating from; made of, consisting of; worth, useful
कि
that
a Hindi word, a tadbhava: evolved from the Sanskrit through Prakrit कार्य — per Wiktionary’s etymology record
“Inherited from Old Hindi का (kā), कौ (kau), केरा (kerā), कर (kara), from Apabhramsa केर (kera) from Prakrit केर (kera), which could be used in conjunction with the genitive case to indicate relation or possession. Ultimately from Sanskrit कार्य (kāryá, “to be done”), whence also …” — per Wiktionary’s etymology record
kārya mfn. (fut. p.p. √ 1. kṛ), to be made or done or practised or performed, practicable, feasible, AV. iii, 24, 5; TS.; Mn. &c.
to be imposed (as a punishment), Mn. viii, 276 & 285
a Hindi word of Persian origin; it is not Sanskrit — per Wiktionary’s etymology record
“Borrowed from Classical Persian کِه (ki). Compare Gujarati કે (ke), Marathi की (kī), Punjabi ਕਿ (ki).” — per Wiktionary’s etymology record
As a Sanskrit word
Meaning
A peacock; itaḥ kekikrīḍākalakalakhaḥ pakṣmaladṛśāṃ
Verified derivationWhy this matches what you typed
The spelling you confirmed, केकिन्, is itself a dictionary headword — no grammatical transformation stands between what you typed and the meaning above.
Dictionary citations
kekin m. (g. vrīhy-ādi) id., Bhartṛ. i, 44; SkandaP.
kekāvalaḥ, -kekikaḥ, -kekin m. A peacock; itaḥ kekikrīḍākalakalakhaḥ pakṣmaladṛśāṃ Bh. 1. 37.
kekin m. (-kī) A peacock. E. kekā the cry of the bird, and ini aff.
Caveats
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