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If log x = (-1)/3 log y = 2/5 " and " P ...

If `log x = (-1)/3 log y = 2/5 " and " P =log ( sin ( arc cos sqrt(1 - x^(2))))`
`Q = log (cos ( arc tan sqrt(1-x^(2)y^(2))/(xy)))`, then

A

`P = (-1)/9`

B

`P + Q = (-4)/15`

C

`P - Q = (-2)/5`

D

`P/Q = - 5`

Text Solution

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The correct Answer is:
B, C, D
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