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If at any point on a curve, the sub-tangent and sub-normals are equal; then the length of tangent is:

a
(2|y|)
b
2|y|
c
|y|
d
None

detailed solution

Correct option is B

|ydydx|=|ydxdy|⇒|dydx|=1 . Length of tangent =|y|1+(dxdy)2=|y|2 .

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