Both 2 and 3 are correct, but with slightly different meanings.
2 seems to be asking about how she felt in the past (which may or may not apply to the present).
3 is asking how she feels about swimming now -- at this time in her life.
1. I said to her, "Are you fond of swimming?"
2. He asked her if she was fond of swimming.
3. He asked her if she 'is' fond of swimming.
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#1 can be changed into #2. What about #3? If we use 'is,' is it incorrect?
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