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Beyond Horizon Set 2 Paper 2 · Q11

Paper 2Algebra

If the roots of

1x+a+1x+b=1c\frac{1}{x+a}+\frac{1}{x+b}=\frac1c

are equal in magnitude but opposite in sign, then the product of the roots is

A−a2+b22-\frac{a^2+b^2}{2}
B−a2+b24\frac{-a^2+b^2}{4}
Ca+b2\frac{a+b}{2}
Da2+b22\frac{a^2+b^2}{2}

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