How many pairs of (x, y) can be chosen from the set \{2,3,6,8,9\} such that \frac{x}{y}+\frac{y}{x}=2, where x \neq y?

  1. A. Zero
  2. B. One
  3. C. Two
  4. D. Three

Correct Answer: A. Zero

Explanation

The given equation simplifies to x^2+y^2=2xy, which implies (x-y)^2=0 \implies x=y. Since the condition strictly requires x \neq y, zero pairs are possible.

Related questions on Algebra

Practice more CDS Elementary Mathematics questions