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If the relation between subnormal SN and...

If the relation between subnormal SN and subtangent ST on the curve, `by^(2)=(x+a)^(3)` is `p(SN)=q(ST)^(2)`, then find the value of `(p)/(q).`

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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