Question

The number of solutions of the equations $\sin x=x^2+x+1$ is:

• A. $0$
• B. $1$
• C. $2$
• D. None of these

Answer 1

The correct option is A $0$

Consider the problem

Let Draw the graph for $x^2+x+1$ and graph of $\sin x$

Since, from the graph

there is no interaction between $\sin x$ and $x^2+x+1$.

So,

the equation $\sin x=x^2+x+1$ does not have any solution.

Hence,

Option $A$ is correct answer.