Edit Problem

Problem Description The angle bisector of the acute angle formed at the origin by the graphs of the lines \(y=x\) and \(y=3x\) has equation \(y=kx\). What is \(k\)? $$\textbf{(A)} \: \frac{1+\sqrt{5}}{2} \qquad \textbf{(B)} \: \frac{1+\sqrt{7}}{2} \qquad \textbf{(C)} \: \frac{2+\sqrt{3}}{2} \qquad \textbf{(D)} \: 2\qquad \textbf{(E)} \: \frac{2+\sqrt{5}}{2}$$

Diagram (TikZ Code)

Solution A

Tags

Difficulty

Source