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What is the condition of tangency of parabola?

What is the condition of tangency of parabola?


 

Grade:12

1 Answers

rishabh
27 Points
9 years ago

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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