# A question on the parabola..

Consider the following lines

1. $x-y-1=0$
2. $x+y-5=0$
3. $y=4$

The line 1 is the axis of the parabola, the line 2 is the tangent at the vertex to the same parabola, and the line 3 is another tangent to the same parabola at some point $P$.

Now let a circle $C$ circumscribing the triangle formed by tangent and normal at the point $P$ and the axis of the parabola.

Then how can I find the equation of the circle?

I have tried and found that the vertex of this parabola is (3,2). Need help....don't know how to proceed further.... Thanks in advance...

• Possible duplicate of A question on parabola
– user147263
Oct 20, 2015 at 13:16