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What is the condition of tangency of parabola?
let the parabola be y2=4ax and the line be y=mx+c
then eliminating x we get a quadratic equn as my2-4ay+4ac=0
an if he line is tangent to the parabola then discriminant of the quadratic obtained must be equal to zero
therefore c=a/m this is the required condition of tangent for parabola
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