If x + y = 25 and xy = 35, then 1/x + 1/y =?

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RRB NTPC Exam 27 Jan 2021 click here to view all questions

If x + y = 25 and xy = 35, then 1/x + 1/y =?

A$$ \frac{\sqrt{57}}{57} $$

B$$ \frac{7}{5} $$

C$$ \frac{5}{7} $$

D$$ \frac{\sqrt{75}}{75} $$

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correct answer is: $\frac{5}{7}$ Explanation: To find $\frac{1}{x} + \frac{1}{y}$, we use the identity $\frac{1}{x} + \frac{1}{y} = \frac{x + y}{xy}$ Given $x + y = 25$ and $xy = 35$, we substitute these values into the equation: $$\frac{1}{x} + \frac{1}{y} = \frac{25}{35} = \frac{5}{7}$$ Thus, the correct answer is $\frac{5}{7}$ OPTION A: Incorrect. $\frac{\sqrt{57}}{57}$ does not simplify to the correct value. OPTION B: Incorrect. $\frac{7}{5}$ is the reciprocal of the correct answer. OPTION C: Correct. $\frac{5}{7}$ matches the derived result. OPTION D: Incorrect. $\frac{\sqrt{75}}{75}$ simplifies to $\frac{\sqrt{3}}{15}$, which is not the correct value. Akhilesh ? answered Apr 3 '25 at 21:12

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