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Maths Made Easy TMUA Paper 1 · Q8

Paper 1Algebra

Positive real numbers a,b,ca,b,c satisfy ab+bc+ca=1ab+bc+ca=1.

What is the least upper bound of

a+b+c(1+a)(1+b)(1+c) ?\frac{a+b+c}{(1+a)(1+b)(1+c)}\,?
A12\frac12
B23\frac23
C34\frac34
D32\frac{\sqrt3}{2}
E11

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