The equation of circle which touches and - axes at the points respectively is
Explanation for the correct option:
Finding the equation of circle:
The given points at which the circle touches - axis and - axis respectively
Thus drawing figure according to the given information.
Therefore, from the figure, center of the circle be
We know the equation of the circle with center and radius
Thus, the circle with center
Since it passes through . Therefore,
Substituting the value of in equation we have
Hence, option (D) is the correct answer.