• 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

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