In parabola y^2=4x, From the point (15,12), three normals are drawn then centroid of triangle formed by three Co normal points is

From the point (15, 12), three normals are drawn to the parabola y^2=4x . Then centroid and triangle formed by three co-normals points is (A) ((16)/3,0) (B) (4,0) (C) ((26)/3,0) (D) (6,0)

The centroid of the triangle formed by the feet of three normals to the parabola y^2=4ax

How many normals can be drawn to parabola y^(2)=4x from point (15, 12)? Find their equation. Also, find corresponding feet of normals on the parabola.

If the normals from any point to the parabola y^2=4x cut the line x=2 at points whose ordinates are in AP, then prove that the slopes of tangents at the co-normal points are in GP.

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The area of the triangle for tangents and their chord of contact is

Consider the following lines : L_(1) : x-y-1=0 L_(2):x+y-5=0 L_(3):y-4=0 Let L_(1) is axis to a parabola, L_(2) is tangent at the vertex to this parabola and L_(3) is another tangent to this parabola at some point P. Let 'C' be the circle circumscribing the triangle formed by tangent and normal at point P and axis of parabola. The tangent and normals at normals at the extremities of latus rectum of this parabola forms a quadrilateral ABCD. Q. The equation of the circle 'C' is :

From a point (h,k) three normals are drawn to the parabola y^2=4ax . Tangents are drawn to the parabola at the of the normals to form a triangle. The Centroid of G of triangle is

Prove that through any point, three normals can be drawn to a parabola and the algebraic sum of the ordinates of the three points is zero.

From a point (sintheta,costheta) , if three normals can be drawn to the parabola y^(2)=4ax then the value of a is