Question

The number of points in $\left(-\infty ,\infty \right)$ for which $x^2-x\sin x-\cos x=0$ is

• A. $6$
• B. $4$
• C. $2$
• D. $0$

Answer 1

The correct option is C

$2$

Explanation for the correct option:

Find the number of solutions for the given equation.

An equation $x^2-x\sin x-\cos x=0$ is given.

Draw the graph of the given equation.

From the graph, it is clear that the given equation intersects the $x-$axis at two different points. So, there are two solutions for the given equation.

Therefore, The number of points in $\left(-\infty ,\infty \right)$ for which $x^2-x\sin x-\cos x=0$ is $2$.

Hence, option $C$ is the correct option.