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Types of RNA that are transcribed by DNA in the nucleus include:
1. mRNA (messenger RNA): It carries the genetic information from the DNA to the ribosome, where proteins are synthesized.
2. tRNA (transfer RNA): It brings amino acids to the ribosome during protein synthesis.
3. rRNA (ribosomal RNA): Although not explicitly listed in the options, it is another type of RNA transcribed in the nucleus that plays a crucial role in protein synthesis by forming the structure of ribosomes.
Therefore, in the context of RNA transcribed by DNA in the nucleus, the correct options would be mRNA and tRNA.