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If x% y=y^(2)-x^(2),x$ y=x-:y^(2),x#y=2x...

If `x% y=y^(2)-x^(2),x$ y=x-:y^(2),x#y=2xy`, then value of `{(13%5)$6}#15` is

A

480

B

720

C

`-360`

D

`-120`

Text Solution

Verified by Experts

The correct Answer is:
D
`{(13%5)$6}#15`
`implies{(5^(2)-13^(2))-:6^(2)}xx2xx15`
`implies{(25-169)-:36}xx30`
`implies{-144-:36}xx30`
`implies-4xx30=-120`
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