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A point P moves such that the sum of the slopes of the normals drawn from it to the hyperbola xy = 16 is equal to the sum of ordinates of feet of normals . The locus of P is a curve C. The area of the equilateral triangle inscribed in the curve C having one vertex as the vertex of curve C is |
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Answer» `772 sqrt3"sq. units"` `"or"(1)/(sqrt3)=(4)/(t_(1))or t_(1)=4sqrt3` `AB=8t_(1)=32sqrt3` `"Area of "DELTAOAB=(sqrt3)/(4)xx32sqrt3xx32sqrt3` `=768sqrt3"sq. units"` |
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