The centroid of triangle ABC, where A, B, C are points on the parabola `4y^2-3y +6x+1=0`, whose normals are concurrent always lie on the line

Let P,Q,R be three points on a parabola y^2=4ax , normals at which are concurrent. The centroid of the ΔPQR must lie on

The coordinates of the centriod of triangle ABC where A,B,C are the points of intersection of the plane 6x + 3y -2z =18 with the coordinate axes are :

The coordinates of the centriod of triangle ABC where A,B,C are the points of intersection of the plane 6x + 3y -2z =18 with the coordinate axes are :

Let P,Q,R be three points on a parabola, normals at which are concurrent, the centroid of Delta PQR must lie on

Find the centroid of triangle ABC where A (6,-2,7), B(3,-6,10), C(6,2,1).

Find the point on the parabola y=(x-3)^2, where the tangent is parabola to the line joining (3,0) and (4,1

Find the point where the line x+y=6 is a normal to the parabola y^2=8x .

Find the point where the line x+y=6 is a normal to the parabola y^2=8x .

Let A(-3,2) and B(-2,1) be the vertices of a triangle ABC. If the centroid of this triangle 1 ies on the line 3x+4y+2=0 then the vertex C lies on the line :

Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from where three distinct normals can be drawn.