1.

Find the centre and radius of the circle x2 + y2 + 8x + 10y – 8 = 0

Answer»

x2 + y2 + 8x + 10y – 8 = 0 ⇒ (x2  + 2.x.4 + 16) - 16 + (y2 + 2.y.5 + 25) – 25 – 8 = 0 

⇒ (x + 4)2 + (y + 5)2 = 49 

⇒ centre = (-4, -5), radius = 7



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