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Question

The number of real roots of 1+|ex1|=ex(ex2)

A
0
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B
1
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C
4
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D
2
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Solution

The correct option is C 1
1+|ex1|=ex(ex2)

For, x>0

1+ex1=ex(ex2)

ex=3

For, x<0

1ex+1=ex(ex2)

ex=2

But ex=2 is not a solution because x<0

Therefore, the number of solutions is 1
Ans: B

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