Application of DerivativeEasy
Question
The length of the subtangent at any point of the curve xmyn = am+n is proportional to-
Options
A.Ordinate
B.Abscissa
C.(Ordinate)n
D.(Abscissa)n
Solution
LST =
xmyn = am+n
yn =
n.yn-1 y1 = am+n
y′ = -
am+n 
LST =
LST =
× yn.xm.x
LST =
x
LST ∝ x
xmyn = am+n
yn =
n.yn-1 y1 = am+n
y′ = -
am+n LST =
LST =
× yn.xm.xLST =
xLST ∝ x
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