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If xloge(logex)-x^2+y^2=4(ygt0)",then" d...

If `xlog_e(log_ex)-x^2+y^2=4(ygt0)",then" dy//dx" at " x=e` is equal to

A

`e/(4+e^2)`

B

`((1+2e))/(2sqrt(4+e^2))`

C

`((2e-1))/(2sqrt(4+e^2))`

D

`((1+2e))/(sqrt(4+e^2))`

Text Solution

Verified by Experts

The correct Answer is:
C
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