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If x, y are real numbers such that 3^((x...

If x, y are real numbers such that `3^((x)/(y)+1)-3^((x)/(y)-1)=24`, then the value of (x+y)/(x-y) is

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
`3^((x)/(y)+1)-3^((x)/(y)-1)=24rArr3^((x)/(y))xx3-(3^((x)/(y)))/(3)=24`
`(8)/(3)(3^(x//y))=24rArr(x)/(y)=2`
`(x+y)/(x-y)=3`
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KVPY PREVIOUS YEAR-KVPY-exercise
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