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If a=(3^(-3)-3^(3)), and b=(3^3-3^(-3)) ...

If `a=(3^(-3)-3^(3))`, and `b=(3^3-3^(-3))` , then find the value of `(a)/(b)-(b)/(a)`.

A

0

B

1

C

-1

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Given `a=3^(-3)-3^(3) and b=3^(3)-3^(-3)`
`(a)/(b)-(b)/(a)=(a^2-b^2)/(ba)=((a+b)(a-b))/(ba) =0`
`(because a+b=0)`
Hence, the correct option is (a).
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