The coordinates of the point of contact of the straight line `y=mx+c` to the parabola `y^(2)=4ax` is

If the line y=mx+c touches the parabola y^(2)=4a(x+a) , then

Point of contact of the line kx+y-4=0 w.r.t the parabola y=x-x^2

If the line y=mx+c is a normal to the parabola y^2=4ax , then c is

Find the range of c for which the line y=mx+ c touches the parabola y^(2)=8(x+2)

Find the locus of the middle points of the chords of contact of orthogonal tangents of the parabola y^(2)=4ax .

Show that the condition that the line y=mx+c may be a tangent to the parabola y^(2)=4ax is c=(a)/(m)

Let the tangents PQ and PR are drawn to y^(2)=4ax from any point P on the line x+4a=0 . The angle subtended by the chord of contact QR at the vertex of the parabola y^(2)=4ax is