If a pair of variable straight lines \( x^{2}+4 y^{2}+a x y=0 \) \(...

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If a pair of variable straight lines \( x^{2}+4 y^{2}+a x y=0 \)
\( \mathrm{P}^{\text {tiv }} \) (where a is a real parameter) cuts the ellipse

W \( x^{2}+4 y^{2}=4 \) at two points \( A \) and \( B \), then the locus of the point of intersection of tangents at \( A \) and \( B \) is
(1) \( x-2 y=0 \)
(2) \( 2 x-y=0 \)
(3) \( x+2 y=0 \)
(4) \( \star 2 x+y=0 \)
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