Jai Sri Ganesha,
Tarakasur was a mighty demon king, indeed cruel by nature and indifferent to self while behave with saintly souls and gods, He was blessed with a boon from Brahma, that none can kill him except the son of Shiva,
This was the cause for incarnation of six faced Swami kartikey to kill demon Tarakasur, though born of Shiva's eternal truth yet initial journey of his life was mystic, life of this child host by earth, fire and sun, six noble ladies in the name of kritikaye, adopt him to serve suitable, his preceptor was sage Vishvamitra,
On the pretext of goddess Parvati, He was called back to home and given due honor and spirit to kill Tarakasur for the cause of gods,
Mystic sagacious son of Shiva killed demon Tarakasur and obliged the gods, soon after he take leave for his mystic penance unto truth toward his parents, austere penance was truth of his heart, he ever exist along with to bless the devotees,
May Lord bless all,
Thanks please