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Solve tan^(-1) x + cot^(-1) (-|x|) = 2 t...

Solve `tan^(-1) x + cot^(-1) (-|x|) = 2 tan^(-1) 6x`

A

4

B

3

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
When x lt 0, wwe have `tan^(-1)(6x)=(pi)/(4)`
`rArr x =(1)/(6)`, which is not possible
When `x ge 0`, we have `(pi)/(4)=tan^(-1)(6x)-tan^(-1)(x)`
`rArr (6x-x)/(1+6x^(2))=1`
`rArr x=(1)/(2),(1)/(3)`
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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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