find the equation of the circle with centre (0,0)and which is touching the line y=4
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Equation of circle touching x=0,y=0&x=4
Centre (2,2) & Radius =2
Equation of circle is
(x−a)
2
+(y−b)
2
=r
2
⇒(x−2)
2
+(y−2)
2
=(2)
2
x
2
+y
2
+8−4x−4y=4
x
2
+y
2
−4x−4y=−4
x
2
+y
2
−4x−4y+4=0
4(x
2
+y
2
)−16x−16y+16=0
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