Length of the shortest normal chord of the parabola `y^2=4ax` is

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

Find the length of the common chord of the parabola y^2=4(x+3) and the circle x^2+y^2+4x=0 .

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

If the length of a focal chord of the parabola y^2=4a x at a distance b from the vertex is c , then prove that b^2c=4a^3dot

Length of the focal chord of the parabola (y +3)^(2) = -8(x-1) which lies at a distance 2 units from the vertex of the parabola 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 locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Find the equations of the tangent and normal to the parabola y^(2) = 4ax at the point (at^(2) , 2at).

A line A B makes intercepts of lengths aa n db on the coordinate axes. Find the equation of the parabola passing through A ,B , and the origin, if A B is the shortest focal chord of the parabola.

Find the length of the Latus rectum of the parabola y^(2)=4ax .