Application of DerivativeMedium
Question
If length of subnormal at any point of the curve yn = an-1x is constant, then n equals-If length of subnormal at any point of the curve yn = an-1x is constant, then n equals-
Options
A.1
B.3
C.2
D.0
Solution
yn = an-1x
length of subnormal = y1 ×
yn = an-1x
nyn-1
= an-1 × 1
length of subnormal = y1 ×
(x1, y1) = K
y1 ×
= K
an-1 × y11-n+1 = K
so n = 2
length of subnormal = y1 ×
yn = an-1x
nyn-1
= an-1 × 1length of subnormal = y1 ×
(x1, y1) = Ky1 ×
= Kan-1 × y11-n+1 = Kso n = 2
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