2023 · Q44
Let (x − a)(x − b)/((x − ma)(x − mb)) = (x + a)(x + b)/((x + ma)(x + mb)); m, a, b > 0. What is x equal to?
Elementary MathematicsRatio and Proportion
- A±mab
- B±ab
- C±2mab
- D±2ab
Explanation
Cross-multiplying reduces to x(x^2-mab)=0, so x=0 or x=+-sqrt(mab); none appears among the options as printed. Keyed option (a). Key disputed: verify against the official UPSC key.