# A beautiful question

Geometry Level pending

A variable line $${ L }_{ r }$$ is passing through $$\left( 2,3 \right)$$ and intersects the circle $${ x }^{ 2 }+{ y }^{ 2 }-7x-7y+22= 0$$ at $${A}_{r}$$ ,r=1,2,3,..., if the line perpendicular to $${ L }_{ r }$$ and passing through $${A}_{r}$$ also passes through a fixed point $$\left( p,q \right)$$ for all values r=1,2,3....,
Then p + q -3 is equal to

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