Question

Find the equation of the circle with Centre at (, −)and which passes through

the point (, −).​

Answer 1

Answer:

The centre of the given circle is (h,k) = (2,2).

Since, the circle passes through the point (4,5), the radius r of the circle is the distance between the points (2,2) and (4,5).

Therefore,

r=

(−2)

2

+(−3)

2

=

4+9

=

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

+y

2

−4x−4y−5=0

Step-by-step explanation:

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