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2 problems match “distance from point to line”. Clear

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1. Smallest modulus on a segment ●●●○○ 50 ptsLet $z$ be a complex number such that $|z - 12| + |z - 5i| = 13$. Find the smallest possible value of $|z|$. Round to two decimal places.
2. Area of a parallelogram on a log graph ●●●○○ 50 ptsGiven points $A(3,1)$ and $B\left(\frac{5}{3},2\right)$. The four vertices of parallelogram $ABCD$ all lie on the graph of $f(x)=\log_{2}\frac{ax+b}{x-1}$. Find the area of parallelogram $ABCD$. Round to two decimal places.