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If ST and SN are the lengths of subtange...

If `ST` and `SN` are the lengths of subtangents and subnormals respectively to the curve `by^2 = (x + 2a)^3.` then `(ST^2)/(SN)` equals (A)`1` (B) `(8b)/27` (C) `(27b)/8` (D) `((4b)/9)`

A

`(8b)/27`

B

`(8a)/27`

C

`b/a`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
`(dy)/(dx)=(3(x+a)^(2))/(2by)`
for `p/q=((y/((dy)/(dx)))^(2))/(y.(dy)/(dx))=y/(((dy)/(dx))^(3))`
`implies p/q=(8b)/27`
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