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

The length of focal chord to the parabola y^(2)=12x drawn from the point (3,6) on is __________ .

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

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

The vertex of the parabola y^2 = 4x + 4y is

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

If length of focal chord P Q is l , and p is the perpendicular distance of P Q from the vertex of the parabola, then prove that lprop1/(p^2)dot

If the length of focal chord of y^2=4a x is l , then find the angle between the axis of the parabola and the focal chord.