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Let f(x)=[2^(-x^(2))[2x^(2)]],x epsilon ...

Let `f(x)=[2^(-x^(2))[2x^(2)]],x epsilon R` ( [ ] denotes the greatest integer function). Let `x_(1)=0,x_(2)=log_(2)3` and `x_(3)=sqrt(2)`. Suppose `0ltx_(4)lt1`.
`Delta=|(f(x_(1)),f(x_(2)),f(x_(3))),(f(x_(4)),f(x_(4)),f(x_(2))),(f(x_(2)),f(x_(3)),f(x_(1)))|` then `Delta` is equal to

A

`-1`

B

`0`

C

`1`

D

`2log_(2)^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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