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

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

Hence the answer is E.

X