Question 19

Section A · 1 mark 14% correct

The question in our own words · page 12

The line \(y=x+c\) carries a point \(A\), and the curve \(y=\log_e(x-1)\) carries a point \(B\). When \(A\) and \(B\) are placed to make \(AB\) as short as possible, its length is \(\sqrt2\). What must \(c\) be?

  1. A\(\sqrt2-2\)
  2. B\(\sqrt2\)
  3. C\(1\)
  4. D\(0\)
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