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Question -

Find the equation of the circle with centre (0, 2) and radius 2



Answer -

The equation of a circle with centre (hk)and radius is given as

(x┬н тАУ h)2 + (y ┬нтАУ k)2 = r2

It is given that centre (hk)= (0, 2) and radius (r) = 2.

Therefore, the equation ofthe circle is

(x тАУ 0)2 + (y тАУ2)2 = 22

x2 + y2 + 4 ┬нтАУ 4 y =4

x2 + y2 ┬нтАУ 4y =0

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