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

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

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

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

Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2x-1=0 is one (b) two (c) three (d) zero

Prove that the focal distance of the point (x ,y) on the parabola x^2-8x+16 y=0 is |y+5|

Prove that the focal distance of the point (x ,y) on the parabola x^2-8x+16 y=0 is |y+5|

Find the angle between two tangents drawn from the point ( 1,4) to the parabola y^(2) = 12x

Statement 1: Normal chord drawn at the point (8, 8) of the parabola y^2=8x subtends a right angle at the vertex of the parabola. Statement 2: Every chord of the parabola y^2=4a x passing through the point (4a ,0) subtends a right angle at the vertex of the parabola.