Нехай 𝐼 та 𝑂 — центри вписаного та описаного кіл прямокутного трикутника 𝐴𝐵𝐶 (∠𝐶 = 90°), 𝐾 — точка дотику вписаного кола з 𝐴𝐶, а 𝑃 та 𝑄 — точки перетину описаного кола трикутника 𝐴𝑂𝐾 з 𝑂𝐶 та з описаним колом трикутника 𝐴𝐵𝐶 відповідно. Доведіть, що точки 𝐶, 𝐼, 𝑃 та 𝑄 лежать на одному колі.
Нехай 𝐼 та 𝑂 — центри вписаного та описаного кіл прямокутного трикутника 𝐴𝐵𝐶 (∠𝐶 = 90°), 𝐾 — точка дотику вписаного кола з 𝐴𝐶, а 𝑃 та 𝑄 — точки перетину описаного кола трикутника 𝐴𝑂𝐾 з 𝑂𝐶 та з описаним колом трикутника 𝐴𝐵𝐶 відповідно. Доведіть, що точки 𝐶, 𝐼, 𝑃 та 𝑄 лежать на одному колі.
During the operations, Sebi officials seized various records and documents, including 34 mobile phones, six laptops, four desktops, four tablets, two hard drive disks and one pen drive from the custody of these persons. The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981. Elsewhere, version 8.6 of Telegram integrates the in-app camera option into the gallery, while a new navigation bar gives quick access to photos, files, location sharing, and more. It is unclear who runs the account, although Russia's official Ministry of Foreign Affairs Twitter account promoted the Telegram channel on Saturday and claimed it was operated by "a group of experts & journalists." Perpetrators of such fraud use various marketing techniques to attract subscribers on their social media channels.
from hk
