A point \( P \) moves such that the sum of the slopes of the normal... VIDEO
A point \( P \) moves such that the sum of the slopes of the normals drawn from it to the hyperbola \( x y=16 \) is equal to the sum of
\( \mathrm{P} \) ordinates of feet of normals. The locus of \( P \) is a curve \( C \).
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The equation of the curve \( C \) is
(1) \( x^{2}=4 y \)
(2) \( x^{2}=16 y \)
(3) \( x^{2}=12 y \)
(4) \( y^{2}=8 x \)
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