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Question

Find the centre and radius of the circle x2+y28x+10y12=0.
  1. (4,5),53
  2. (4,5),53
  3. (4,5),53
  4. (4,5),53

A
(4,5),53
B
(4,5),53
C
(4,5),53
D
(4,5),53
Solution
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Given circle equation

x2+y28x+10y12=0here2g=8g=4and2f=10f=5centre(g,f)=(4,5)radius=g2+f2c=42+52(12)=16+25+12=53unit

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