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Let ordered pair `(alpha, beta)` satisfying the system of equations `2 log (x^2+ y^2)- log5= log{2(x^2+ y^2) +75}` and `log(x/3)+ log (5y)= 1 +log 2` then `(A)` number of such ordered pair is `2 (B) alpha^2+beta^2=25 (C)alpha & beta` are prime numbers `(D)alpha & beta are coprime numbers

A

number of such ordred pair is 2

B

`alpha^(2)+beta^(2)=25`

C

`alpha & beta` are prime numbers

D

`alpha & beta` are coprime numbers

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