Question on Rational Functions

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Hi, I'm having difficulty with a math question, specifically part c. Image to the problem linked above.

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It's actually just the pythagorean theorem. Point Q is at $(1,3)$ and Point P is at $(x,\frac{3x}{x-q})$. $PQ=\sqrt{{(1-x)}^2+{(3-\frac{3x}{x-1})}^2}=\sqrt{{(1-x)}^2+{(\frac{3}{x-1})}^2}$ by algebra.