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 x-axis. For what values of `c` are the other two normals perpendicular to each other

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 X-axis. Find c for which the other two normals are perpendicular to each other.

The normals are drawn from (2lamda,0) to the parabola y^2=4x .Show that lamda must be greater than 1. One normal is always the X-axis. Find lamda for which the other two normals are perpendicular to each other.

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

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.

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

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 are drawn from the point (c,0) to the parabola y^(2)=x ,One normal is the x-axis .If the other two normal are perpendicular to each other.Then value of c is (a)/(b) where a and b are relative prime then a+b=