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Question

The equation sinx=x2+x+1 has


A

one root

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B

no real root

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C

An infinite number of roots

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D

None of these

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Solution

The correct option is B

no real root


Check from the graph of the function.

Given equation is sinx=x2+x+1

Let y=sinx

In the given figure, the curve has no intersection point.

So, it has no solution.

Hence, option B is correct.


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