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

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

Find k for which the line x+2y+k=0 touches the parabola y^(2)+4y+4x=0

The value of c, for which the line y=2x+c is tangent to the parabola y^(2)=4a(x+a) is

The value of |C| for which the line y=3x+c touches the ellipse 16x^2+y^2=16 is:

Find the range of values of m for which the line y=mx+2 cuts the circle x^(2)+y^(2)=1 at distinct or coincident points.