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If x^a y^b=e^m , x^c y^d=e^n ,Delta1=|(m...

If `x^a y^b=e^m , x^c y^d=e^n ,Delta_1=|(m,b),(n,d)|,and Delta_2 =|(a,m),(c,n)| and Delta_3=|(a,b),(c,d)|,` then the values of x and y are

A

`Delta_(1)//Delta_(3) and Delta_(2)//Delta_(3)`

B

`Delta_(2)//Delta_(1) and Delta_(3)//Delta_(1)`

C

`log(Delta_(1)//Delta_(3)) and log(Delta_(2)//Delta_(3))`

D

`e^(Delta_(1)//Delta_(3)) and e^(Delta_(2)//Delta_(3))`

Text Solution

Verified by Experts

The correct Answer is:
D
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