I would enjoy taking your dollar :)
Unfortunately...On the whole India china border, there are no land resources worth of taking over from a India point of view. Tibet is a huge cold desert...
..In the modern world, the square miles of land you control is not a very good indicator of your worth...A more reliable indicator would be the square miles of cultivable land you have...and cultivable land per head is also a good indicator..
Look at the following Source is
https://www.cia.gov/cia/publications/factbook/
China statistics
Area:
total: 9,596,960 sq km
land: 9,326,410 sq km
water: 270,550 sq km
Area - comparative:
Definition Field Listing
slightly smaller than the US
arable land: 14.86%
permanent crops: 1.27%
other: 83.87% (2005)
India Statistics
Area:
total: 3,287,590 sq km
land: 2,973,190 sq km
water: 314,400 sq km
Area - comparative:
Definition Field Listing
slightly more than one-third the size of the US
arable land: 48.83%
permanent crops: 2.8%
other: 48.37% (2005)
If you look at these statistics, you would get the true picture...India has more cultivable land that the China..even if nominal land area is more for China...
In case of a serious war, Both India and China has the same constraint in terms of fossil fuels..Both countries have to import petroleum....These economies even if they are big and rich in resources, cannot sustain a military campaign beyond 50-60 days....Especially India can shut down shipment of gulf oil to China altogether....China might send navy into Indian Ocean ...but cannot sustain forever like the American can.....The war would be a stalemate......
Americans might decide the winner by throwing their weight one way or other.....
The Chinese power structure understands all these issues and they are working on increasing the dependencies in China and India economies...I don't see a conflict in foreseeable future..