Math Question

In the diagram, a circle centered at the origin, a right If the center of the circle were moved from the origin to triangle, and the Pythagorean theorem are used to derive the point ( \( h, k) \) and point \( \mathrm{P} \) at \( (x, y) \) remains on the edge the equation of a circle, \( x^{2}+y^{2}=r^{2} \). of the circle, which could represent the equation of the fy new circle?
\( (h+x)^{2}+(k+y)^{2}=r^{2} \)
\( (x-h)^{2}+(y-k)^{2}=r^{2} \)
\( (k+x)^{2}+(h+y)^{2}=r^{2} \)
\( (x-k)^{2}+(y-h)^{2}=r^{2} \)



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