Since the question is incomplete, we find the type of conic section and its parameter.
Solution:
x2+y2−8x+2y−32=0⇒x2−8x+y2+2y=32⇒(x−4)2−42+(y+1)2−12=32⇒(x−4)2+(y+1)2=32+17⇒(x−4)2+(y+1)2=49⇒(x−4)2+(y+1)2=72
It is a circle. On comparing with (x−h)2+(y−k)2=r2, we get,
Centre=(h,k)=(4,−1) and radius=r=7 units.
Comments