A point P moves such that 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

A point P moves such that the sum of the slopes of the normals drawn from it to the hyperbola xy=4 is equal to the sum of the ordinates of feet of normals. The locus of P is a curve C. Q.If the tangent to the curve C cuts the coordinate axes at A and B, then , the locus of the middle point of AB is

A point P moves such that the sum of the slopes of the normals drawn from it to the hyperbola xy=4 is equal to the sum of the ordinates of feet of normals. The locus of P is a curve C. Q. The area of the equilateral triangle inscribed in the curve C having one vertex as the vertex of curve C is

If the sum of slopes of concurrent normals to the curve xy=4 is equal to the sum of ordinates of conormal points then locus of P is

If the sum of the slopes of the normals from a point P to the hyperbola xy=c ^(2) is constant k (k gt 0), then the locus of point P is

Three normals are drawn from the point (7, 14) to the parabola x^(2)-8x-16y=0. Find the coordinates of the feet of the normals.