A circle touches the \( y \)-axis at \( (0,2) \) and has an intercept of 4 units on the positive... VIDEO
A circle touches the \( y \)-axis at \( (0,2) \) and has an intercept of 4 units on the positive side of the \( x \) axis. Then the equation of the circle is
(a) \( x^{2}+y^{2}-4(\sqrt{2} x+y)+4=0 \)
(b) \( x^{2}+y^{2}-4(x+\sqrt{2} y)+4=0 \)
(c) \( x^{2}+y^{2}-2(\sqrt{2} x+y) \)
(d) none of these
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