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Q.

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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a

Question Image

b

Question Image

c

Question Image

d

None of these 

answer is A.

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Detailed Solution

Let Question Imagebe the equation of the circle.
Question ImageQuestion ImageIntercept x-axis is given by
Question ImageSince x=0 is a tangent.
Radius = perpendicular distance from the center to tangent
Question ImageSubstituting in the equation
Question ImageQuestion ImageHence, Option (1) is the correct answer.
 
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