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The pregnancy tests showing positive results suggest that you are likely to be pregnant. The test should always be done on early morning first urine sample to get accurate results (pregnancy hormone HCG is believed to be in highest concentration in this sample, and you should avoid lot of fluid intake and caffeinated beverages in the night before taking the test). The spotting/bleeding could have been probable implantation bleed. Few women can experience period like bleeding during expected period time during first few months of pregnancy which is also known as Decidual bleeding. If you are pregnant, it is also possible that you are having decidual bleeding. If the symptoms suggestive of early pregnancy are persistent, do not ignore them and visit your doctor/gynecologist at the earliest for thorough examination (to confirm pregnancy related changes/signs in body) and blood/serum HCG level test (to confirm/rule out pregnancy accurately). If pregnancy gets confirmed, consider getting serial HCG levels estimated. Doubling up of the hormone levels in 48-72 hours will show that pregnancy is going on smoothly. If levels are not adequate, then external hormonal supplements would be considered to be started to help you in preventing miscarriage. Ultrasound scan done will help to know if pregnancy is intrauterine or ectopic along with confirmation of gestational age and viability. Be in regular monitoring and follow-up with your treating doctor/gynecologist and report any new/abnormal symptoms immediately. Take adequate rest. Drink plenty of water. Maintain healthy diet.
Take care.