If the points of intersection of curves \( C_{1}=4 y^{2}-2 \lambda ...

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If the points of intersection of curves \( C_{1}=4 y^{2}-2 \lambda x^{2}-2 x y-9 x+3 \) and \( C_{2}=2 x^{2}+3 y^{2}-4 x y+3 x-1 \) subtends a right angle at origin, then find the value of \( \lambda \).
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