If the locus of the middle points of the normal chords of parabola $y^{2} = 12 x$ is given by $6 y^{2} (x - λ_{2}) = 81 λ_{3} + y^{4}$ then

λ_{2} = 8

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λ_{3} = 6

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λ_{3} = 8

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λ_{2} = 6

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Solution

The correct option is D $λ_{2} = 6$

As $t_{2} = - t_{1} - \frac{2}{t_{1}}$
Hence the locus of $R \Rightarrow 6 y^{2} (x - 6) = 8.81 + y^{4}$

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