Passage-I A point moves such that the sum of the slopes of the normal drawn from it to the hyper....

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Passage-I
A point \( \mathrm{P} \) moves such that the sum of the slopes of the normal drawn from it to the hyperbola \( x y=16 \) is equal to
\( \mathrm{P} \)
the sum of ordinates of feet of normal. The locus of \( \mathrm{P} \) is a curve \( \mathrm{C} \).

The area of the equilateral triangle inscribed in the curve \( \mathrm{C} \) having one vertex as the vertex of curve \( \mathrm{C} \) is
(1) \( 772 \sqrt{3} \) sq. units
(2) \( 776 \sqrt{3} \) sq. units
(3) \( 760 \sqrt{3} \) sq. units
(4) \( 768 \sqrt{3} \) sq. units


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