Question

Given x=1/uy=1/vand. z=1/fwhere u, vand f stand for object distance,image distance and focal length for a lens.What is the nature of graph between yversus x? What is the slope of the graph?​

Answer 1

Solution :
From the lens formula,






Further,


and


Now, differentiating the lens formula, we have



or


Substituting the values, we have