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anonymous
 5 years ago
The center of the circle that passes through the points (2,3), (0,3), and (4,3) is________
a) (2,2)
b) there is not enough data to find the center
c) (1,2)
d) (2,1)
anonymous
 5 years ago
The center of the circle that passes through the points (2,3), (0,3), and (4,3) is________ a) (2,2) b) there is not enough data to find the center c) (1,2) d) (2,1)

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0first we can find the eq of circle passing through three points, then can check the centre

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0general eq of the circle is \[x^2+y^2+2gx+2fy+c=0\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0substitute the three points in this eq we get three eqs in three unknows find the unknows g,f and c

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0centre is \[\sqrt{g^2+f^2c}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for(2,3) 4+94g+6f+c=0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0for(4,3) 16+9+8g6f+c=0

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.04g+6f+c=13 6f+c=9 8g6f+c=25

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0subtracting 1 n 3 12g+12f=12 g+f=1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sub 1 n 2 4g+12f=4 g3f=1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0adding the resultant eqs 2f=2 f=1 which gives g=2 n c=3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so D is the right option:)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0m sorry the formula i wrote earlier is to find the radius

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you for your help

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0u got all the lenghy computations?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what do g and f represent though?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if there is some confusion, u can ask:)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the eq i wrote is the general eq of the circle

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0finding out g,f and c, we can find the eq of the circle
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