# Find a function with given condition

## Homework Statement

Find a curve that passes through point $A(2,0)$ such that the triangle which is defined with a tangent at arbitrary point $M$, axis $Oy$ and secant $\overline{OM}$ is isosceles. $\overline{OM}$ is the base side of a triangle.

2. The attempt at a solution
Function passes through point $A(2,0)\Rightarrow y=k(x-2),k\neq 0.$
There are two cases, for $k<0$ and for $k>0$.

What is the relation between points $A$ and $M$ because $M$ is not defined?

In which quadrant the point $M$ should be?