PGDBA 2017 Question 45

Question 45

The point $$R (4,10)$$ lies on the curve $$C: y = x^2 - 6x + 18.$$ The tangent and normal to $$C$$ at $$R$$ meets the Y-axis at points $$P$$ and $$Q$$ respectively. A circle passes through the points $$P,Q$$ and $$R$$. The radius of this circle is


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