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... th a slightly rotund figure, his back curved as his hands rested on the lectern, “Now, looking at this problem, what should we do first? We set the coordinates for this moving point M, using trigonometric substitution and the trigonometric identity, right?”

“And what’s the next step? Write down the coordinates of the other points as well! Then it becomes pretty obvious, they’re all collinear. Can we not determine the coordinates of point P? Isn’t the slope of PQ now evident? Isn’t it qui ...

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