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Find equation of circle passing through (1 , –4) ; (5 , 2) & whose center lies on x – 2y + 9 = 0

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Find equation of circle passing through (1 , –4) ; (5 , 2) & whose center lies on x – 2y + 9 = 0

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STEP 1 :

Since C(h , k) lies on x – 2y + 9 = 0

h – 2k = 9 ……………… (1)

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