Three normals are drawn froom the point (14,7) to the curve `y^2-16x-8y=0` . Then the coordinates of the feet of the normals are

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

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

Three normals are drawn from the point (c, 0) to the curve y^2 = x . Show that c must be greater than 1/2. One normal is always the axis. Find c for which the other two normals are perpendicular to each other.

Three normals are drawn from the point (a,0) to the parabola y^2=x . One normal is the X-axis . If other two normals are perpendicular to each other , then the value of 4a is

Three normals drawn from a point (h k) to parabola y^2 = 4ax

The number of normals drawn from the point (6, -8) to the parabola y^2 - 12y - 4x + 4 = 0 is

If three normals are drawn from the point (c, 0) to the parabola y^(2)=4x and two of which are perpendicular, then the value of c is equal to

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

Three normal are drawn to the curve y^(2)=x from a point (c, 0) . Out of three, one is always the x-axis. If two other normal are perpendicular to each other, then ‘c’ is:

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 equation of the curve C is