Bunuel niks18 chetan2u pushpitkc**Quote:**

If |x| = |y| and xy = 0, which of the following must be true?

A \(xy^2>0\)

B. \(x^2y>0\)

C. \(x+y=0\)

D. \(\frac{x}{(y+1)}=2\)

E. \(\frac{1}{x}+\frac{1}{y}=\frac{1}{2}\)

Can you explain solving modulus on both sides of equality if it was a PS problem.

|x| = |y|

Do I definitely need to know if x or y is positive or negative?

I approached in below manner:

If product of two numbers x and y is zero, then EITHER of x or y is zero, or

BOTH x and y are zero.

With this logic, A,B and E are out. (Since this is PS problem ALL of above

conditions must be satisfied.)

For D, if x = 0 then RHS = 2 is Not satisfied, since LHS = 0

If y = 0 , then |0| = 0 LHS = 0/1 or 0, RHS = 2. Not satisfied.

Let me know if my steps are correct.

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