question_answer

The locus of the points of intersection of the tangents at the extremities of the chords of the ellipse \[{{x}^{2}}+2{{y}^{2}}=6\] which touches the ellipse \[{{x}^{2}}+4{{y}^{2}}=4\] is ________.

A)  \[{{x}^{2}}+{{y}^{2}}=4\]            

B)  \[{{x}^{2}}+{{y}^{2}}=8\]

C)  \[{{x}^{2}}+{{y}^{2}}=9\]

D)  \[{{x}^{2}}+{{y}^{2}}=16\]

E)  None of these