question_answer

Number of solutions of the equation  is

A) \[0\]      

B)                    \[1\]                       

C) \[2\]                       

D)        \[3\]

Correct Answer: D

Solution :

[d] \[\Rightarrow \,\,\,(\sin x-x)\,\,(\cos x-{{x}^{2}})=0\] \[\therefore \,\,\,\sin x=x\] or \[\cos x={{x}^{2}}\] Hence, there are three solutions.