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😴 Дано трикутник АВС, точки D та Е на його сторонах задовольняють умову BD = EC. Пряма DE перетинає пряму ВС в точці F, а точка N — середина дуги ВАС описаного колa трикутника ABC. Точка Х — інцентр трикутника ECF, а точка Y — центр зовнівписаного кола DBF.…
Продовжуючи тему горобців, задача на ніч:

Зовнішня бісектриса кута A перетинає описане коло трикутника ABC в точці F, у фокусі вписаної параболи Г. Доведіть, що дотична до Г в довільній точці X перетинає AC і BC у таких точках P і Q таких, що BQ = CP.



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Продовжуючи тему горобців, задача на ніч:

Зовнішня бісектриса кута A перетинає описане коло трикутника ABC в точці F, у фокусі вписаної параболи Г. Доведіть, що дотична до Г в довільній точці X перетинає AC і BC у таких точках P і Q таких, що BQ = CP.

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The SC urges the public to refer to the SC’s I nvestor Alert List before investing. The list contains details of unauthorised websites, investment products, companies and individuals. Members of the public who suspect that they have been approached by unauthorised firms or individuals offering schemes that promise unrealistic returns The War on Fakes channel has repeatedly attempted to push conspiracies that footage from Ukraine is somehow being falsified. One post on the channel from February 24 claimed without evidence that a widely viewed photo of a Ukrainian woman injured in an airstrike in the city of Chuhuiv was doctored and that the woman was seen in a different photo days later without injuries. The post, which has over 600,000 views, also baselessly claimed that the woman's blood was actually makeup or grape juice. Perpetrators of these scams will create a public group on Telegram to promote these investment packages that are usually accompanied by fake testimonies and sometimes advertised as being Shariah-compliant. Interested investors will be asked to directly message the representatives to begin investing in the various investment packages offered. The picture was mixed overseas. Hong Kong’s Hang Seng Index fell 1.6%, under pressure from U.S. regulatory scrutiny on New York-listed Chinese companies. Stocks were more buoyant in Europe, where Frankfurt’s DAX surged 1.4%. The Securities and Exchange Board of India (Sebi) had carried out a similar exercise in 2017 in a matter related to circulation of messages through WhatsApp.
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