Its parabola.

Geometry Level 3

Consider a parabola $(x-7)^2+(y-11)^2=\dfrac{(5x-12y+6)^2}{169}$ From any point $$P$$ on the parabola the feet of perpendicular to the axis of the parabola is $$Q$$. From the same point $$P$$, the normal is drawn to the parabola to meet the axis of the parabola at point $$R$$. Find length $$QR$$.

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