# 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 \(y=|5-|x||\).