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Q.

Number of solutions of $| \sin x | + e^{x} = 0$

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a

1

b

2

c

infinite

d

zero

answer is D.

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Detailed Solution

We know that

| \sin x | \geq 0

and

e^{x} > 0

$∴ | \sin x | + e^{x}$ is never be zero

$∴$ Number of solutions are zero

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Number of solutions of|sinx|+ex=0