Question

A $\equiv$ (cos $\theta$, sin $\theta$), B $\equiv$ (sin $\theta$, – cos $\theta$) are two points. The locus of the centroid of $\Delta$OAB, where ‘O’ is the origin is

• A. x² +y² = 3
• B. 9x² +9y² = 2
• C. 2x² +2y² = 9
• D. 3x² +3y² = 2

Answer 1

The correct option is B

9x² +9y² = 2

(x, y) = G = centroid = $(\frac{cos\theta +sin\theta }{3},\frac{sin\theta +cos\theta }{3})$