Shortest Normal

Geometry Level 4

What is the length of the shortest normal that can be drawn to the hyperbola x y = 16 xy=16 ?

8 4 2 4\sqrt { 2 } 8 2 8\sqrt { 2 } 4

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1 solution

Find the points of intersection of the curve with y=x and then find distance b/w those points. This is just the method. I will type out an explanatory solution after my exams are over. I am currently too busy to type a long solution

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