In coordinate geometry, transforming the axes allows us to simplify equations, reposition curves, and reveal hidden symmetries. This technique is especially...
Selected Problems on SurdsProblem 1 If \( x=\frac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}} \) and \( x y=1 \), then show that$\frac{x^{2}+x y+y^{2}}{x^{2}-x...
Introduction: In the world of algebraic shortcuts, Componendo and Dividendo stands out as a powerful tool for simplifying complex ratios and solving problems...
Ratio and proportion are most commonly used terms in mathematics. Students use these concepts to solve their mathematical problems at different level of...