If the reciprocal of the sum x and y is equal to 10 and x≠-y, then what is the square of the sum of x and y?


Options :

  1. 100

  2. 10

  3. 1

  4. \frac{1}{10}
  5. \frac{1}{100}

Answer: E

Explanation:

Given that,

Reciprocal of the sum

x and y is equal to 10

i.e.,
\frac{1}{x+y}=10

\frac{1}{10}=x+y

Square of the sum of x and y = \left(x+y\right)^2=\frac{1}{100}

Hence the answer is E.

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