The President of India has recently approved the establishment of separate High Courts in three North-Eastern states of India. This means that these states will now have their own independent High Courts to handle judicial matters. The options provided are Arunachal Pradesh, Manipur, Meghalaya, and Tripura.

Option 1, Arunachal Pradesh, is NOT among the states that have been given approval for separate High Courts. This means that Arunachal Pradesh will not have its own independent High Court.

On the other hand, options 2, 3, and 4, which are Manipur, Meghalaya, and Tripura respectively, are among the states that have been given approval for separate High Courts. This means that these three states will have their own independent High Courts to handle judicial matters.

Therefore, the correct answer is option 1, as Arunachal Pradesh is not among the North-Eastern states that have been approved for separate High Courts.