Number of solution of the equation 2 e - x -tan -1- x -1 isA- 0B- 1C- 2D- 4

The correct option is C 22 e^|x|tan ^ 1 (|x|) = 1 ⇒ 2 tan ^ 1 (|x|) = nbsp;e^ |x| nbsp; So the number of solution will be 2. ...

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Standard XII

Mathematics

Relation between Inverses of Trigonometric Functions and Their Reciprocal Functions

Number of sol...

Question

Number of solution of the equation $2 e^{| x |} {tan}^{- 1} (| x |) = 1$ is

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Solution

The correct option is C $2$
$2 e^{| x |} {tan}^{- 1} (| x |) = 1 \Rightarrow 2 {tan}^{- 1} (| x |) = e^{- | x |}$

So the number of solution will be $2$ .

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Number of solution of the equation 2e|x|tan−1(|x|)=1 is

The correct option is C 22e|x|tan−1(|x|)=1⇒2tan−1(|x|)=e−|x| So the number of solution will be 2.

Number of solution of the equation $2 e^{| x |} {tan}^{- 1} (| x |) = 1$ is

The correct option is C $2$
$2 e^{| x |} {tan}^{- 1} (| x |) = 1 \Rightarrow 2 {tan}^{- 1} (| x |) = e^{- | x |}$

So the number of solution will be $2$ .