Find the locus of the midpoint of chords of the parabola `y^2=4a x` that pass through the point `(3a ,a)dot`

Find the locus of the midpoint of normal chord of parabola y^2=4ax

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

Find the locus of the middle points of the chords of the parabola y^2=4a x which subtend a right angle at the vertex of the parabola.

Find the equation of tangents of the parabola y^2=12 x , which passes through the point (2, 5).

Find the locus of the midpoint of the chords of the circle x^2+y^2=a^2 which subtend a right angle at the point (0,0)dot

Find the locus of the midpoints of the portion of the normal to the parabola y^2=4a x intercepted between the curve and the axis.

Find the locus of the point from which the two tangents drawn to the parabola y^2=4a x are such that the slope of one is thrice that of the other.

Find the locus of the midpoint of the chords of circle x^(2)+y^(2)=a^(2) having fixed length l.

Find the equation of the chord of the circle x^2+y^2=a^2 passing through the point (2, 3) farthest from the center.

Find the equation of the tangent to the parabola 9x^2+12 x+18 y-14=0 which passes through the point (0, 1).