How do I convince my parents I do not have an Eating disorder?

mik1997
My parents are convinced that I'm starving myself and that is why I'm losing weight. I'm asian, I have a medium frame, I'm just over five feet tall and I'm just barely one hundred pounds with cloths on. I recently became a vegetarian back in June, so I have lost a bit of weight. My mom keeps comparing my weight to what it was last year which was 114lbs at the highest, but that's not a fair comparison because I was fat then. My mom said she's going to get my doctor involved if I don't start gaining weight but I don't want to. I'm perfectly healthy as it is right? I checked my BMI and it said I'm no where near under weight.

Please give me suggestions on how to get my parents to stop worrying. How do I make myself weigh more on a scale, so that my mom stops worrying because its too hard to gain weight back. What do you think the doctors will say?
How do I convince my parents I do not have an Eating disorder?
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