Using distance formula, show that (3,3) is the center of the circle passing through the points (6,2),(0,4) and (4,6)
Answers
Answer:
Radius = √10 unit , Equation of circle : (x - 3)² + (y - 3)² = 10 or x² + y² - 6x - 6y + 8 = 0
Step-by-step explanation:
Step-by-step explanation:
(3 , 3) is center of circle
& Circle passes through (6,2),(0,2) and (4,6)
=>radius ² = ( 6 - 3)² + (2 - 3)² = (0 - 3)² + (2 - 3)² = (4 - 3)² + (6 - 3)²
=>radius ² = 9 + 1 = 9 + 1 = 1 + 9
=> radius ² = 10
=> Radius = √10
Equation of circle
(x - 3)² + (y - 3)² = 10
=> x² - 6x + 9 + y² - 6y + 9 = 10
=> x² + y² - 6x - 6y + 8 = 0
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Step-by-step explanation:
answer is (7, -5)
but in question u kept wrong