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If L(T), L(N), L(ST) and L(SN) denote t...

If `L_(T), L_(N), L_(ST)` and `L_(SN)` denote the lengths of tangent, normal, sub-langent and sub-normal respectively, ofa curve y =f(x) at a point P (2009, 2010) on it, then

A

`(L_(ST))/(2010)=(2010)/(L_(SN))`

B

`|(LT)/(L_(N))sqrt((L_(SN))/(L_(ST)))|=1`

C

`1-L_(ST)L_(SN)=(2000)/(2010)`

D

`((L_(T)+L_(N))/(L_(T)-L_(N)))^(2)=(L_(ST))/(S_(SN))`

Text Solution

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The correct Answer is:
A, B
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