2
3
4
5
Correct answer is D
The equation of a circle is given as: (x−a)2+(y−b)2=r2
Expanding, we have: x2+y2−2ax−2by+a2+b2=r2
⟹x2+y2−2ax−2by=r2−a2−b2
Comparing with the given equation: 3x2+3y2+24x−12y=15
Making the coefficients of x2 and y2 = 1, we have
x2+y2+8x−4y=5
2a=−8⟹a=−4
2b=4⟹b=2
r2−a2−b2=5⟹r2=5+(−4)2+(2)2=5+16+4=25
∴r=5
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