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Show that for the curve x=a+b log [b+(b^2-y^2)^1/2]-(b^2-y^2)^1/2 sum of the subnormal and subtangent is constant

Show that for the curve x=a+b log [b+(b^2-y^2)^1/2]-(b^2-y^2)^1/2 sum of the subnormal and subtangent is constant 

Grade:12th pass

1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
subnormal ym
subtangent y/m
sum = y (m+1/m)
now find dy/dx = m and solve as im unable to understand the equation here

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