JEE Main & Advanced Sample Paper JEE Main Sample Paper-43

  • question_answer
    The number of real solutions of\[(x,\,\,y),\] where \[y=\,|\], \[\sin \,x\,|,\,\,y={{\cos }^{-1}}(\cos \,x),\]\[-2\pi \le \,x\le 2\pi ,\] is

    A)  2                                

    B)  1                 

    C)  3                                

    D)  4

    Correct Answer: C

    Solution :

     for \[{{m}_{1}}=\frac{M}{4},\,{{x}_{1}}=\frac{R}{2}\] For \[{{m}_{2}}=\frac{3M}{4}\] \[{{x}_{2}}=-\frac{M/4}{3M/4}\cdot \frac{R}{2}=\frac{-R}{6}\] For \[\frac{R}{6}\], \[{{d}_{w}}\] For \[{{d}_{o}}\] \[h{{d}_{w}}g={{h}_{w}}{{d}_{w}}g+{{h}_{o}}{{d}_{o}}g\] On plotting the graphs we have

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