a
Show that the length of the subnormal at any point on the curve xy = a varies as the cube of the
ordinate of the point.
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Answer:
SN = (ym)
=( y dy / dx )
=( y × c2 / - x2 )
= ∣ y3 c2 / c2 ∣
= ∣ c2 / x3 ∣.
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