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If the conics whose equations are \( S \equiv \sin ^{2} \theta x^{2}+2 h x y \)
\( +\cos ^{2} \theta y^{2}+32 x+16 y+19=0, S^{\prime} \equiv \cos ^{2} \theta x^{2}+2 h^{\prime} x y \)
\( \mathrm{P} \)
\( +\sin ^{2} \theta y^{2}+16 x+32 y+19=0 \) intersect at four concyclic
W
points, then, (where \( \theta \in R \) )
(1) \( h+h^{\prime}=0 \)
(2) \( h=h^{\prime} \)
(3) \( h+h^{\prime}=1 \)
(4) none of these
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