The normals at the extremities of the latus rectum of the parabola intersects the axis at an angle of

Statement-1: Point of intersection of the tangents drawn to the parabola x^(2)=4y at (4,4) and (-4,4) lies on the y-axis. Statement-2: Tangents drawn at the extremities of the latus rectum of the parabola x^(2)=4y intersect on the axis of the parabola.

Find the extremities of latus rectum of the parabola y=x^(2)-2x+3

Tangent and normal at the extremities of the latus rectum intersectthe x axis at T and G respectively.The coordinates of the middlepoint of T and G are

The area of the quadrillateral formed by the tangents and normals at the extremities of the latus rectum of the parabola y^(2)-4y+4+12x=0 is

The area of the quadrillateral formed by the tangents and normals at the extremities of the latus rectum of the parabola y^(2)-4y+4+12x=0 is

Find the equations of the normals at the ends of the latus-rectum of the parabola y^(2)=4ax Also prove that they are at right angles on the axis of the parabola.

Find the equations of the normals at the ends of the latus- rectum of the parabola y^2= 4ax. Also prove that they are at right angles on the axis of the parabola.