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Q.

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

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a

(2|y|)

b

2|y|

c

|y|

d

None

answer is B.

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Detailed Solution

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

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