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Unattributed TMUA Mock Set A Paper 2 · Q19

Paper 2Powers & logarithms

x,a,bx,a,b are all real numbers. If (a+2)2+(b−3)2=1(a+2)^2+(b-3)^2=1, then what is the minimum value of

(x−a)2+(ln⁡x−b)2?(x-a)^2+(\ln x-b)^2?
A33
B1818
C323\sqrt2
D32−13\sqrt2-1
E19−6219-6\sqrt2

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