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If the centroid of a triangle formed by the points (0,0), `(costheta,\ s intheta)a n d\ (s intheta,\ -costheta)` lies on the line `y=2x` then write the value of `t a nthetadot`

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C = `(frac{sin theta+cos theta}{3}, frac{sin theta-cos theta}{3})`

`frac{sin theta-cos theta}{3}=frac{2}{3}(sin theta+cos theta)`

`=0=sin theta+3 cos theta`

`-3 cos theta=sin theta`

`tan theta=-3`
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