Question

(2) Find the center and radius of the circle passing through the points A = (0,0), B = (1,2), and C = (-1,3).

Answer 1

з Пинь. let center of urch be pla,b) and radiud of aircle is r. and let point A=(0,0) B=(1,2), (= (+1,32. I PALE |P131 = PC), *All that IPA 1² = 1PB 1² = 18612 ; Co-u²+ (0-b? = (1 - 97 +(2-6) (almal +13-14 a to = 1-2atar +4-26 16 ² = 1 + 2ata + Als x = 1 - za 14 tarab the E za tab as - to of ² - 2a-4b +5 = 24 zarobitio - -4a + 2b = 5 a -hat ab=5 - eghe x 2 tegn ♡ we get na+ 8 b=10 - 4/4 + 2b = 5 Tob= 15 & 12 = 21 20 th 2 2 =5 za= 5-7 5-6= 4 - 20 - za= T la=27

- center P(a,b)=P(-1/2, 2 / 2 How radius r= |PA| = /co-a²+ Comby? - 1 t + 9 Ver - center is (-14 1 / and radius . Thank you
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