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in Co-ordinate geometry by (75 points)
1. Tangents are drawn form the points on conic. \( S_{1} \equiv \frac{x^{2}}{36}+\frac{y^{2}}{20}=1 \). to the conic \( S_{2} \equiv \frac{x^{2}}{9}+\frac{y^{2}}{5}=1 \). The eccentricity of the locus of the point of intersection of normals at the points of contact of tangents at \( S_{2}=0 \), is (A) \( \frac{4}{5} \) (B) \( \frac{2}{3} \) (C) \( <\frac{\sqrt{5}}{3} \) (D) \( <\frac{2}{\sqrt{5}} \)

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