The circle rolls up the tangent to it at by 2 units

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The circle

x^2 + y^2 - 4x - 8y + 16 = 0

rolls up the tangent to it at

(2 + \sqrt{3}, 3)

by 2 units, assuming the

X

-axis as horizontal, find the equation of the circle in the new position.