7. Given a moving point $P(x, y)$ satisfies $10 \sqrt{(x-1)^{2}+(y-2)^{2}}=|3 x-4 y|$. Then the trajectory of point $P$ is
7. Ellipse. Hint: The second definition of an ellipse can be used.



Preserve the original text's line breaks and format, and output the translation result directly.