What is the source of the shown painting (from where is it taken)?

Badshah Nama

The correct answer is Option 3 - Badshah Nama

In the painting given, a Mughal emperor Shahjahan is hunting 'nilgais'. The painting is taken from Badshah Nama.

The Badshah Nama, literally meaning "The Book of the Emperor" in Persian, is a collection of works chronicling the reign of the Mughal emperor Shah Jahan. The term "Badshah Nama" is often used specifically for the illustrated versions of the text.  The Nawab of Awadh gifted a lavishly illustrated Badshah Nama to King George III of England. It is now part of the British Royal Collection.