coordinate

Question: If $A(\cos \alpha ,\sin \alpha ),\ B(\sin \alpha ,-\cos \alpha ),\,C(1,\text{ }2)$are the vertices of a $\Delta ABC$, then as $\alpha $varies, the locus of its centroid is



1) ${{x}^{2}}+{{y}^{2}}-2x-4y+1=0$
2) $3({{x}^{2}}+{{y}^{2}})-2x-4y+1=0$
3) ${{x}^{2}}+{{y}^{2}}-2x-4y+3=0$
4) None of these
Solution: Explanation: No Explanation
Transformation of axes and Locus

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