Methods2025 Exam 2 Section A · Q19CAS active1 mark

Minimum distance between a line and a log curve

Let $A$ be a point on the line $y = x + c$ and $B$ be a point on the curve $y = \log_e(x - 1)$ .

If $A$ and $B$ are placed such that the line segment $AB$ has the minimum possible length, and this length is $\sqrt{2}$ , the value of $c$ must be

1 mark

\sqrt{2} - 2

\sqrt{2}

1

0

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