All the three normals drawn from a point (h, k) to the parabola `y^(2)=4ax` are real and distinct, if

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

If two of the three feet of normals drawn from a point to the parabola y^2=4x are (1, 2) and (1,-2), then find the third foot.

If two of the three feet of normals drawn from a point to the parabola y^2=4x are (1, 2) and (1,-2), then find the third foot.

The exhaustive set of values of k for which tangents drawn from the point (k + 3, k) to the parabola y^(2)=4x , are real, 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

Prove that the feet of the normals drawn from the point (h, k) to the parabola y^2 -4ax lie on the curve xy-(h-2a)y-2ak=0 .

If the tangents drawn from the point (0, 2) to the parabola y^2 = 4ax are inclined at angle (3pi)/4 , then the value of 'a' is

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

If normal are drawn from a point P(h , k) to the parabola y^2=4a x , then the sum of the intercepts which the normals cut-off from the axis of the parabola is (h+c) (b) 3(h+a) 2(h+a) (d) none of these

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