coordinate

Question: Locus of centroid of the triangle whose vertices are $(a\cos t,a\sin t),\ (b\sin t,-b\cos t)$ and (1, 0), where t is a parameter; is

1) ${{(3x-1)}^{2}}+{{(3y)}^{2}}={{a}^{2}}-{{b}^{2}}$

2) ${{(3x-1)}^{2}}+{{(3y)}^{2}}={{a}^{2}}+{{b}^{2}}$

3) ${{(3x+1)}^{2}}+{{(3y)}^{2}}={{a}^{2}}+{{b}^{2}}$

4) ${{(3x+1)}^{2}}+{{(3y)}^{2}}={{a}^{2}}-{{b}^{2}}$

Solution:

Explanation: No Explanation

Transformation of axes and Locus

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