Find the equations of the chords of the parabola `y^2= 4ax` which pass through the point (- 6a, 0) and which subtends an angle of `45^0` at the vertex.

Statement 1: Normal chord drawn at the point (8,8) of the parabola y^(2)=8x subtends a right angle at the vertex of the parabola.Statement 2: Every chord of the parabola y^(2)=4ax passing through the point (4a,0) subtends a right angle at the vertex of the parabola.

Statement 1: Normal chord drawn at the point (8, 8) of the parabola y^2=8x subtends a right angle at the vertex of the parabola. Statement 2: Every chord of the parabola y^2=4a x passing through the point (4a ,0) subtends a right angle at the vertex of the parabola.

Find the equation of the normal to the parabola y^2 = 4ax such that the chord intercepted upon it by the curve subtends a right angle at the verted.

Find the locus of the midpoint of the chords of the parabola y^2=4ax .which subtend a right angle at the vertex.

Find the locus of the middle points of all chords of the parabola y^(2) = 4ax , which are drawn through the vertex.

Find the equation of the parabola with vertex (0,0), passing through the point (4,5) and symmetric about the x - axis.