InterviewSolution
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InterviewSolution
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The expression (x + y)-1 (x-1 + y-1) is the reciprocal of ………………….. A) x + yB) xy C) 1/xyD) x/y |
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Answer» Correct option is (B) xy \((x+y)^{-1}(x^{-1}+y^{-1})\) \(=\frac1{x+y}(\frac1x+\frac1y)\) \(=\frac1{x+y}(\frac{y+x}{xy})=\frac1{xy}\) = reciprocal of xy Thus, given expression \((x+y)^{-1}(x^{-1}+y^{-1})\) is the reciprocal of xy. Correct option is C) 1/xy |
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