The locus of the foot of perpendicular drawn from the centre of the ellipse \( x^{2}+3y^{2}=6 \) on any tangent to it is:
1
\( (x^{2}-y^{2})^{2}=6x^{2}+2y^{2} \)
2
\( (x^{2}-y^{2})^{2}=6x^{2}-2y^{2} \)
3
\( (x^{2}+y^{2})^{2}=6x^{2}+2y^{2} \)
4
\( (x^{2}+y^{2})^{2}=6x^{2}-2y^{2} \)