If a normal to a parabola `y^2 =4ax` makes an angle `phi` with its axis, then it will cut the curve again at an angle

If the normal to a parabola y^2=4ax , makes an angle with the axis then it will cut the curve again at an angle.

If the normal chord of the parabola y^(2)=4 x makes an angle 45^(@) with the axis of the parabola, then its length, is

Two tangents to parabola y ^(2 ) = 4ax make angles theta and phi with the x-axis. Then find the locus of their point of intersection if sin (theta - phi) =2 cos theta cos phi.

The length of a focal chord of the parabola y^(2)=4ax making an angle theta with the axis of the parabola is (a>0) is:

Two tangents to the parabola y^(2)=4ax make supplementary angles with the x-axis.Then the locus of their point of intersection is

Show that the focal chord, of parabola y^2 = 4ax , that makes an angle alpha with the x-axis is of length 4a cosec^2 alpha .

" A normal is drawn to parabola " y^(2)=4ax " at any point "P" ,other than vertex.If it cuts the parabola again at a point "Q" .Then minimum length of "PQ" is"