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Definition of Functions

Assertion :Th...

Question

Assertion :The number of solution of the equation $∣ s i n x ∣=∣ x ∣$ is only one. Reason: The number of point of intersection of the two curves $y =∣ s i n x ∣$ and $y =∣ x ∣$ is three.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Assertion is incorrect but Reason is correct

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Solution

The correct option is C Assertion is correct but Reason is incorrect
From the graph,
$∣ sin x ∣=∣ x ∣$ when $x = 0$ .
So, number of intersection $= 1$
Hence, the equation has 1 solution.

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