2023 · Q43
Let (x − a)(x − b)/((x − ma)(x − mb)) = (x + a)(x + b)/((x + ma)(x + mb)); m, a, b > 0. What is (x² + ab)/(x² + m²ab) equal to?
Elementary MathematicsRatio and Proportion
- A−1/m²
- B1/m²
- C2/m
- D1/m
Explanation
Componendo-dividendo on the two fractions gives (x^2+ab)/(m(x^2+mab))... simplifying yields 1/m. Option (d).