Find the centre and the radius of the circle x²+y²+8x+10y-8=0.
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Given Equation can be Converted to Standard Equation of Circle as follows
(x2+8x+16) + (y2+10y+25) = 8+25+16 ⇒ (x+4)2+(y+5) 2=72 .. (1)
and Standard equation of Circle is : (x+f) 2+(y+g) 2=r2 ... (2)
where, r = radius of Circle
(−f,−g) is the center
Comparing (1) and (2)
center:(−4,−5)
radius:7
Step-by-step explanation:
hope it will help you mate
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