1. Geothermal energy can indeed be used to produce electricity and has direct applications in industry, agriculture, building, and cleaning. This is supported by various sources that highlight its use in these sectors. 2. Nuclear energy is often considered cost-competitive with other energy sources, but it is not universally cheaper. The cost of nuclear energy can vary based on factors like capital costs and local economic conditions. Therefore, this statement is not universally true. 3. Thermal power stations do burn fossil fuels to create steam, which drives turbines to generate electricity. This is a well-documented process in thermal power generation. Thus, statements 1 and 3 are correct.