The number of roots of the equation $x sin x = 1,$ lying between - $4 π$ and $4 π,$ is

8

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6

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4

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0

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Solution

The correct option is A $8$
As we can see that from the Given Graph

$f (x)$ cuts $g (x)$ $8$ times in $[- 4 π, 4 π]$

Hence the Number of roots of $x sin x = 1$ is $8$

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