Drilling, blasting is eliminated in the following open-cast method.

Solution (By Examveda Team)

The open-cast mining method that eliminates drilling and blasting is the surface miner.

Surface miners are machines that use a cutting drum to extract rock or minerals from the surface of the earth. They can selectively extract material without the need for drilling and blasting, which can reduce the environmental impact and improve safety.

Option A, dozer, is a type of earthmoving equipment used for pushing soil, rocks, or other materials. Dozers are not typically used for extraction of minerals or rock.

Option B, shovel, is a type of excavation equipment that uses a bucket to dig and load material. Shovels may require drilling and blasting to extract rock or minerals from the earth.

Option C, dragline, is a large excavation machine that uses a bucket attached to a cable to dig and remove material. Draglines are often used in strip mining operations and may require drilling and blasting to extract rock or minerals from the earth.

Therefore, the correct answer is option D, surface miner.