Question

Total number of solutions of the equation $\sin \pi x=\mid \ln \mid x\mid \mid$ are

• A. 8
• B. 10
• C. 9
• D. 6

Answer 1

Answer: (D)

6

For $\sin \left(\pi x\right)=|\ln |x||$

graph of $\sin \left(\pi x\right)$ and $\parallel \ln |x||$ is shown above.

From the graph we can conclude that the no. of solutions will be $6$.