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## Homework Statement

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

**2. The attempt at a solution**

Function passes through point [itex]A(2,0)\Rightarrow y=k(x-2),k\neq 0.[/itex]

There are two cases, for [itex]k<0[/itex] and for [itex]k>0[/itex].

What is the relation between points [itex]A[/itex] and [itex]M[/itex] because [itex]M[/itex] is not defined?

In which quadrant the point [itex]M[/itex] should be?