Are there two varities of dandelion leaves?
Although the leaves are similar, these are both not Dandelions Taraxacum species, because:
1. Dandelions have leaves in a rosette, not distributed along a stem.
2. Dandelions have a stem with a single flower at the end, not multiple flowers.
3. The shape of the closed flower heads after flowering is too pointed.     Dandelions usually have the pappus (white hairs) sticking out a little.

These distinctions can be clearly seen in the picture below:


I am not familiair with the flora of India, but I think these could be Sonchus species. Sonchus is known to have  variable leaves.

For comparative purposes, see how Sonchus looks like