Points A, B \& C lie on the parabola \( y^{2}=4 a x \). The tangent...

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Points A, B \& C lie on the parabola \( y^{2}=4 a x \). The tangents to the parabola at A, B \& C, taken in pairs, intersect at points \( P, Q \& R \). the ratio of the areas of the triangles \( A B C \& P Q R \) is \( \frac{\lambda}{\mu} \) where \( \lambda \) and \( \mu \) are co-prime number then \( \lambda+\mu \) is
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