Find the equation of the circle with Centre at ( , − )and which passes through
the point (, − ).
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Answer:
The centre of the circle is given as (h,k)=(2,2)
Since the circle passes through point (4,5), the radius (r) of the circle is the distance between the point (2,2) and (4,5).
r=
(2−4)
2
+(2−5)
2
=
13
Thus, the equation of the circle is
(x−h)
2
+(y−k)
2
=r
2
(x−2)
2
+(y−2)
2
=13
x
2
−4x+4+y
2
−4y+4=13
x
2
+y
2
−4x−4y−5=0
Step-by-step explanation:
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