# Question 13

Geometry Level 4

Let $$y=f(x)$$ be a curve passing through $$(4,3)$$ such that slope of normal at any point lying in the first quadrant is negative and the normal and tangent at any point $$P$$ cuts the $$y$$-axis at $$A$$ and $$B$$ respectively such that the mid-point of $$AB$$ is the origin, then find the number of solutions of $$y=f(x)$$ and $$y=|5-|x||$$.

###### This question is part of the set For the JEE-nius;P.
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