The number of solution of the equation |...

The number of solution of the equation `|tan^(-1)|x||=sqrt((x^(2)+1)^(2)-4x^(2))` is

A

2

B

3

C

4

D

none of these

Verified by Experts

The correct Answer is:

C

`sqrt((x^(2)+1)^(2)-4x^(2))=sqrt((x^(2)-1)^(2))=|x^(2)-1|`
`rArr |tan^(-1)|x||=|x^(2)-1|`
Draw the graphs of `y=|tan^(-1)|x||` and `y=|x^(2)-1|`

From the graph, it is clear that equation has four roots.

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