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If x # y = (x + y)/(xy), then the value ...

If `x # y = (x + y)/(xy)`, then the value of `P # (q # r)` for every p, q, in N :

A

`(pq+qr+r^2)/p(p+q+r)`

B

`(pqr+q+r)/p(q+r)`

C

`p(qr+q+r)/pqr`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
p#(p#r)=p#((q+r)/qr)
`=(p+((q+r)/(qr)))/(p((q+r)/(qr)) = ((pqr+q+r)/(qr))/(p(q+r)/(qr)`
`=(pqr+q+r)/(p(q+r))`
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