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A circle touches the y-axis at (0, 2) and has an intercept of 4 units on the positive sides of the x-axis. Then find the equation of the circle.

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None of these

answer is A.

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Detailed Solution

Let

be the equation of the circle.

Intercept x-axis is given by
Question Image

Since x=0 is a tangent.
Radius = perpendicular distance from the center to tangent

Substituting in the equation
Question Image

Hence, Option (1) is the correct answer.

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