Image 1 depicts Hemigraphis latebrosa (Roth) Neesof Acanthaceae family

I agree with Aravind for first. The second may be some Asystasia species I think

1. Hemigraphis latebrosa (Roth) Nees

Dr. Arvind is correct

2. Asystasia gangetica (L.) T. Anderson

I agree withDr. Rajeev Kumar Singh for the image 2.

First one is correct sir....2 nd doubt..

Asystasia gangetica is variable species, better to dissect the flowers and check it with relevant floras. For perfect identification specimens is required. By seeing images we can give suggestions but you have yo confirm identity after dissection.

Rajeev Kumar sir...maybe it is Strobilanthes species...

No, it is not Strobilanthes species. Better to send the specimens to BSI (Howrah, Pune or Hyderabad) for correct identifications.

Ok rajeev sir....I will try...

Ruellia humilis (Wild Petunia)

Not Ruellia humilis, may be something interesting taxon (from leaves it seems) or variable form, result will come after more field study to check the population for range of variations.

Thank you Rajeev sir. images taken Andhra Pradesh..

Eranthemum pulchellum

Not Eranthemum.

I agree rajiv it is not Eranthemum 

Now, I have confirm the identity - your second plant is Strobilanthes cuspidata (Benth.) T. Anderson

Wight, R., Icones Plantarum Indiae Orientalis, vol. 4(3): t. 1497 (1846), check this illustration of Wight, given as Endopogon versicolor Wight, synonym of  Strobilanthes cuspidata (Benth.) T. Anderson

Thank you rajeev sir ...i will check... 

Dr Singh. is right

first one is Hemigraphis latebrusa

I too agree with Arvind sir & Rajeev sir,

With regards.