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The number of solutions to |e^(|x|)-3|=K...

The number of solutions to `|e^(|x|)-3|=K` is

A

Two if `K=0`

B

Three if `Kgt2`

C

Three if `K=2`

D

Four if `K=1`

Text Solution

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The correct Answer is:
C, D
The graph of `y=|e^(|x|)-3|` is below
To check options find number of intersection of the live `y=k` with the curve in diagram.
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