Application of DerivativeHard
Question
If at any point (x1, y1) on the curve the subtangent and subnormal are equal, then the length of tangent is equal to-
Options
A.y1
B.√2 y1
C.
D.None of these
Solution
Length of subtangent = length of subnormal
y1 ×
= y1 ×
1 =
length tangent =
= y1 × √2 = √2 × y1
y1 ×
= y1 ×1 =
length tangent =
= y1 × √2 = √2 × y1
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